Looking for some help... I'm looking for a budget friendly projector that will produce a 40-in diagonal screen at about 6 ft distance. I'm pretty sure a short throw projector would produce much larger screen size at 6 ft. I figured my ratio would be around 3:1. For this distance and screen size I found issues with clear focusing. Portability and lumens would be a plus as it would be nice to double as an outdoor projector. Any help in pointing me in the right direction?