Well projectors are all different. But there is one consistent thing that I've noticed in all the projectors I've projected my video on - they tend to muddy up dark colors. If you have a lot of dark parts to your video, or if you are doing any 'film look' enhancements that add too much contrast, that can tranlate to a pretty muddy look.

But again, all projectors are, unfortunately, very different.

As far as preliminary testing, at least test it out on a decent TV - it's your best bet since you don't have a broadcast monitor or any other special equipment. Just try to avoid unnecessary darkness or contrast.