Let your nose be your guide. If it smells ok and the carpet isn't getting wet any longer, I would just leave it alone. If there's no longer a source of moisture then any mold on the backside of the drywall isn't going to do much of anything. If you were really curious, you could remove the baseboard, then cut out some drywall behind it. You'll probably find some staining, but if it's not soggy (i.e. dried out), leave it alone.

It's certainly a good idea to have some kind of back-up plan. Battery powered and water powered pumps each have their own advantages and disadvantages. The disadvantage to the battery system is that it has a finite capacity because the battery has a finite capacity. You can use a bigger battery or multiple batteries but there's still a finite limit. There is also an ongoing maintenance cost because the battery needs to be replaced at regular intervals. The advantage is that it's completely independent and there's no operating cost (beyond the cost of recharging the battery). Water power pumps will operate, in theory, indefinitely but their performance and efficiency is directly related to city water pressure. The greater the city water pressure, the more water the pump can remove. If you have very low city water pressure, it may not be able to remove enough water to keep your basement dry. The drawback is there is an operating cost in terms of water required to operate the pump, which is difficult to calculate because you don't know how long the power will be be out or how much water the pump will be required to remove. If a major catastrophe occurs and you loose city water pressure (or experience a significant decrease in city water pressure) you could be in trouble. The choice is a matter of personal preference, comfort level, and a bit of speculation as to what your worst case scenario might be.

Quote;" It is rare, that a house cant maintain 35 PSI with 8-10 GPM IMO." To your credit you did qualify that statement by stating it is your "Opinion", however you present no factual evidence to support that claim, and based upon the evidence presented in numerous posts it is evident that you are not a plumber, nor have you had any formal training in the plumbing field. Now here are a few facts to support my "professional opinion" as a Master Plumber, In order to maintain consistent water pressure municipal water suppliers first use electric pumps to pump the water up into water towers or in mountainous regions they use ground-mounted tanks installed at higher elevations. They then use gravity as the propelling force in the municipal water mains. A standing column of water produces 0.434psi per vertical foot thus the municipal water supplier erects water towers that are at least 94 from the bottom of the tank to the horizontal water line supplying the community, this will produce a minimum of 94x 0.434psi/ft = 40.79psi static head pressure from the base of the tank to the ground. The tanks on the top of tower are then 50 to 75 high, which produces another 21.7psi to 32.5psi so depending upon how full the tank may be at any given moment. The static head pressure may range from 40psi to 72.5psi approximately. Understanding that even comparatively flat terrain is not really flat, it then stands that the actual pressures at any given point in the municipal infrastructure might vary dependant upon whether the municipal main rises or drops from the mean average depth. With than in mind, the International Residential code requires that we install a boost pump if the static head pressure to a structure is less than 40psi. Under the Uniform Plumbing code a boost pump is not required unless the average static head pressure is below 15psi. Under both codes if the maximum static head pressure exceeds 85psi we are required to install a PRV (pressure reducing valve). Keep in mind that this code minimum is for static head pressure at the structure service main, which is the pressure when the water is at rest. The moment any valve or faucet is opened the water pressure to that fixture drops to "Dynamic Head Pressure", which is the initial static head pressure, less vertical static head loss and pipe friction loss and fitting loss. (pipe friction loss must be computed from the point of discharge back to the municipal main). In addition, pipe friction loss increases dramatically as the velocity of flow increases. Now when you consider that probably 60% of all residential structures in America today still have the code minimum ¾" supply line from the municipal main to the structure, and considering the losses it is almost a guarantee that they cannot maintain a 35psi dynamic head pressure into a ¾" fixture at any point in the structure. Especially when we consider that an overwhelming number of those residential service lines are 40 to 50 year old severely corroded galvanized pipe, not to mention that those structures that are under the UPC are only required a 15psi static head pressure to start with. So once again, in my professional opinion as a master plumber I doubt that 1 house in 100 could produce the necessary 35psi dynamic pressure required to operate the pump at peak operation Now let us consider the volume of water they water powered pumps consume. The overall mean average for residential water consumption is 300gal/day and the municipal water tanks must be able to provide sufficient water for a 24hour period, thus they determine how many residential structures may be supplied from the tank by dividing the total volume of the tank by 300gal. On the other hand, you yourself pointed out that the water-powered pumps can consume as much as 10gpm. Allowing 60minutes per hour, it is then consuming 10gpm x 60min/hr =600gal/hr. This means that a single water powered pump will consume a volume of water every hour equal to the daily requirements of 2 residential structures. If that pump were to run for 24 hours it would consume a volume of water equal to the amount needed to supply 48 houses in the same 24 hour period. Keep in mind that it is using water stored in the water tower, and while the power is out the municipality is unable to refill the tower. Needless to say, it would not take too many water-powered pumps to cause a serious problem with the water supply during a period of electrical power outage. It is true that most municipal water suppliers do have an emergency contingency, whether they have a backup generator, a diesel powered pump or as is done in some small rural communities, they use a fire truck to refill the tanks, however these systems are extremely small in comparison to the volume of water that can be pumped by the electric pumps that work off commercial power. In most communities these emergency systems are hard pressed to even maintain a minimal water supply when all the residents are conserving water during the emergency. It is for these reasons that many communities have outlawed water powered pumps. In my community they not only outlawed them, anyone who is caught using one will be fined $5,000.

The period it operates from is directly drivein by how large a battery (amp-hours) you care to purchase. It is even possible with the correct setup to parallel batteries for longer operating time. The discharge side of things is simple, the charging side for paralleled batteries is a little harder.