I'm having trouble picturing your layout. Is the stove going directly beneath the window? Is the window right at the corner? If the stove going in directly beneath the window, if so, is the back going against the exterior wall with the window or against the interior wall that is 90 degrees to the wall with the window? Is the stove going exactly in the corner or do you have countertop that makes an "L" with the stove just beyond the L? Are the ceilings 8 feet high? Maybe you have a galley style kitchen with the counters running perpendicular to a wall with a a doorway aat one end and a window next to it? I ask all this because my first thought was to ask why get a ductless hood (a "ventless vent" as it were) if you've got an exterior wall? Almost all wall-hung and cabinet-hung hoods can vent directly out the back through a wall. If the stove backs-up against an interior wall, it is easy to put an elbow on top of the vent hood and take it out the side wall -- unless, of course, that is where your window is. Do you condo association rules prohibit exterior venting hoods? As for"is it possible to mount "under cabinet" hoods NOT under a cabinet?" --- sure. Some under-cabinet hoods are constructed so to give an option of wall-mount or hanging undercabinet, but it will be easier (and more stable with less vibration) to hang most such hoods from a couple of upside down shelf-brackets -- or make a shelf and hang the hood from that. Putting a ventless hood 44" above the countertop strikes me as likely to be ineffective for grease. It is so far away from the stove and the fan power in most recirculating hoods is so low that it cannot capture much grease or steam. Most of the effluent will begoing to go on the walls, the window and out into the kitchen. Frankly, I think you would have more luck just putting a box fan in that window whenever you wanted to vent. Also, consider how high you'd have to reach to hit the switches on a recirculating hood that is placed that high. Think about reaching to the middle of the lintels over the doorways. Maybe not so big a deal if you are tall, but likely an annoyance nonetheless.

No, unfortunately there is nothing even remotely comparable to the Ventahood.

Unfortunately that may be difficult to find. Most built in units are set up to be ducted. I saw a couple on Broan's website but they had ok reviews. They are not strong - the stronger units really are only the vented kind. Look into some of the big name brands - Broan, Best by broan, Vent-a-hood, Zephyr - I'm sure there are a few others. I don't know how fast you can get something like that - especially the way things are now, so you may have to wait. It's a shame there was no way to figure out how to get outside??

>>>So, what do you suggest?<<< If that was directed to me, sorry, but I can't help on finding effective ductless hoods beyond pointing to the ARS thread as a resource for the OP. No help to you since, IIRC, you already knew about that thread from having recently participated in that discussion and I have no personal experience with the ARS units. My experience from when I have occasionally worked in kitchens with less expensive ductless units ( a Broan hood and several brands of OTRs) was that their undersized charcoal filters were mostly ineffective. IMO, those units well deserved the epithet of "forehead greasers" bestowed by one of the LBNL (Lawrence-Berkeley National Lab) reports that Opaone mentioned. ETA: As I think more about my previous ductless hood experiences, I'm thinking that most of them only had mesh filters and not charcoal filters except for the Broan model which had a rather weak fan and didn't seem to do much more than the OTRs. Maybe better than nothing, but not by much.