projectiondesign Action! Model Three 1080 is the projector you might like to consider for that sort of screen size.
Dual lamps, dual color wheels, virtually no rainbows and sharp images. It comes with the Crystalio II [VPS3300]. You can also request the VPS 3800 at an additional price.
The downside is that it is pretty expensive.
Projectors in the Pearl price range may not have the lumens to brighten up a 150" screen properly. Either you might have to go 720p or you might have to consider a smaller screen size with a 1080p pj for an optimum picture at your price range.
It will be a good idea to contact Jason Turk, Tryg Hoff or one of the other AVS reps who can help you formalize an ideal combination of products that give the best result within your budget.