I'm starting to plan out a projector setup and having trouble finding a good projector for my requirements. Due to a ventilation system, I'm limited to a 9' throw for the projector. I'm looking for a sub $1000 projector which can provide me about 100"-120" diagonal at a 9' distance. The projector will be ceiling mounted. Any good recommendations? I've been using the calculator, but can't find a good option.