The Aug 2016 issue of This Old House has an article titled: All About Ceiling Fans. 1'6" min distance from wall or sloped ceiling. 7'-10' minimum distance from floor. Steer clear of (existing) lights, rotating blades below a light may create a flickering effect. Occupied space (in sq ft) / 4 = blade span in inches, wider if ceilings are high. DC motors save up to 70% on electricity. Higher cfm fans provide a better breeze, usually have more robust motors that will last longer and run quieter.

yes you can,,,and depending how long the rod is, you may need to lengthen it. as for painting, perhaps this will give you some ideas. trim work is very nice looking for the transition from the wall to the ceiling joint. both of these are beautiful. with and without trim so you can see. and dark and light colors I hate the brown, but gives you an idea. this ceiling doesn't seem to be as high as yours what does look good is wood ceiling inside the tray imagine wood like this. gorgeous. and then paint the slanted walls another option there are a bazillion pics of different ways to do these. just google "tray ceilings with fans" or 'tray ceilings" or look on Pinterest.

RIGHT FAN INSTALLATION: https://www.airconditionersductless.com/ Ceiling fan blade spans range from 29 – 54 inches - the most popular being the 52-inch model. To determine which size you need, measure the room where the ceiling fan will be installed and follow these guidelines: Room Dimensions Suggested Fan Size Up to 75 ft2 .....29 – 36" 76 – 144 ft2 .....36 – 42" 144 – 225 ft2 ......44" 225 – 400 ft2...... 50 – 54" Choosing the Appropriate Mounting System Ceiling fans should be installed, or mounted, in the middle of the room and at least 7 feet above the floor and 18 inches from the walls. If ceiling height allows, install the fan 8 - 9 feet above the floor for optimal airflow. Standard mounts come with a 3 – 5 inch downrod, which is the metal pipe that extends from the ceiling bracket to the top of the fan. Downrods are usually either 1/2 or 3/4-inch in diameter. Extended mounts can be used to hang the ceiling fan at the desired 8– 9 feet from the floor for tall ceiling heights. Downrods can be purchased from 6 inches (9 ft ceiling) to 120 inches (20 ft ceiling). Check with the manufacturer or sales associate to determine the right downrod length for you. Flush mounts anchor the fan directly against the ceiling. Most standard fans can be installed as a flush mount however, many manufacturers sell “hugger” or “low profile” ceiling fans that are specifically designed for this purpose. Hugger fans are ideal for rooms that have ceilings under 8 feet in height or in situations where a fan with optional light would hang down too low. Hugger fans will not move as much air as a regular fan because the blades are closer to the ceiling.

Did you ever make a decision on this? A fan that high in the room is going to want a remote control, so a light on the fan just gives you one more way to control the mood in the room with the touch of a button. So there is really no need not to limit your choices to only fans without lights. What's more important is the question: Do you want to feel a breeze from the fan? If you do, you should be using a downrod longer than 6' on a 22' high ceiling. Otherwise, it's likely your fan is just going to a decoration that spins, it won't provide much of a breeze, if any. Post some pictures of the room and I'd be happy to make some recommendations.