I have $3k to spend on a display. The room where it will go in is about 13ftx13ft. The wall is 15ft from floor to ceiling. I'm guessing the viewing distance will be about 9ft. Viewing angle is very important since some folk will be watching from the side. There will be some light entering the room since two windows above the main windows lack curtains. What do ya'll recommend for this setup: a projector, rear projector display, or direct display unit? TIA!