Can anyone recommend a middle of the road standard throw projector for a golf simulator? Most of the simulator website and forums talk about short throw recommendations. Mine will be on a small movable cart about 12-14 feet away from the screen. It will also be off center, so it will need both vertical and horizontal keystone ability. Trying to stay in the $500-1,000 range max.

Screen diagonal = 151"
Screen width = 122"
Screen height = 96"
Throw ratio range = 1.18 to 1.53 ish
Throw distance = 12ft -14ft

Any help with a recommended brand and model is appreciated. I can find several online but I've never bought a projector and don't know which are most reliable, etc.

I was thinking this was going to be about the simulator estimated the distance of a thrown club. If a simulator is going to be truly real life, it needs this capability.