Projector that works from 100 plus feet of distance?

I'm running the video section of a play in an auditorium. There is a projection booth of which the director insists I use. It is about 95 feet away from the screen. I need to know of a relatively cheap (I know I'm in the $3,000 plus section, so you know what I mean) projector that could do this for me. I need it to hook up to my laptop. I'm only running subtitles, so it doesn't need stunning video quality or such, just readable from a distance and not an eyesore up close (Front row will be about twenty feet away from the screen.