Pointing register up to vaulted ceiling
In my apartment, the living room has a vaulted ceiling. I live in Florida so it's about 92 outside, and there is so much heat just sitting up in the ceiling. The heat is too high up to be felt when standing on the floor, but it prevents the living room from ever getting cool. Not much air comes out of the vents in the living room since the system is small, and designed to cool the bedrooms more than the living room.
I was wondering if pointing the register vent up so that the air blows into the heat up there, would make any difference in the temp in the room. There is a big vent, but a damper with a small hole in it is at the end so that only a small amount of air can come out. If I remove it, none of the other rooms get air.
The reason why I am asking this is because in the day, the house will get no cooler than 78 even if the unit runs all day. There is just so much heat up there that it is slowly being mixed in with the cooler air downwards, and basically cancelling out the cooling of the living room.