Projector with horizontal lens shift

[Sidt87]

Hi, building my sim area in my garage with an 8.5 x 10ft screen (H x W) and hitting about 9-10ft away from screen. My garage gets pretty cold (from the midwest) so I'd like to go with a floor mount projector for ease of pulling it in and out however I don't like the idea of the projector sitting directly in front of the hitting path and would like to mount the project off center. I'd be looking to throw around 6-8ft away from the screen.

Are there particular short throw projectors that has better horizontal lens shift than others? Hoping to find something that is $1500 and less to work with my Nvidia RTX 3050 graphics card.

Thanks!