Generally speaking, LED projectors do not perform well with firearm simulators. You should also avoid small pico projectors and unusually inexpensive projectors (under $200) as they often have inferior lens elements and very dim output. In our experience, these projectors are not bright enough to properly calibrate the system and they tend to project dull, fuzzy images.
Our projector of choice is currently the Optoma X343, which features 3,600 lumen output and a 1.94 – 2.15:1 throw ratio lens. We include the Optoma X343 with our Laser Range Complete package.