Need a projector to display roughly 24"x36" ish screen from either 3' or 8' feet away, depending on if I mount it to a chandelier (preferred) or the ceiling. The room isn't super bright, but we would have the lights on during play. Would be connecting from mac's, so AirPlay over wifi would be ideal to keep cords out of the way. Power would be normal household from the light fixture, or a new circuit run if we have to go ceiling mount.

I'm located in the US, budget is $600

Thanks!