Horizontal keystone effect

I would like to put a front projector above a door in a small AV-dedicated closet under a stairway. I don't know much about projectors. The projector would be about 7 feet off the ground. The ideal location for my screen is not right in front of the projector, but about 6 feet to the right. The projection would hit the screen (about 22 feet away) at about a 75 - 80º angle. The screen would be hanging from (and hidden behind) an exposed rafter, so I would rather keep it parallel to the wall. Are there projectors that can shift this much or handle this sort of horizontal keystone? I'm looking in the $2000 - $2500 range. I would also consider a good used projector. Appreciate any advice.