Projector for rescanning and feedback. Desired specs?

As per the title.

If a person were wanting to acquire a projector for indoor use, what should one look for?
My list comprises:

Fan noise
Nits/lumens/brightness/bulb hours
Input formats & resolutions
Mounting hardware points and options

A throw of 10-15 feet (3-5 meters) is likely.

Any thoughts on the matter? Any pointers appreciated.

Here’s some projector fun via Michael/Yovozol:


Thanks for sharing the video, such a good effect! Will have to dig out my projector to try this