Would they be willing to paint someone else's machine?

I think Paul probably has the best answer but my suggestion would be to call and talk to someone down there if you really want to find out for sure they seem to offer services of many kinds

No, read Paul's ans

Unlikely, but they may have other resources to suggest.

They are pretty swamped getting ready for their new building and move to just east of the welcome to Las Vegas sign on the south end of the strip -likely 18 to 24 months before they might get into other projects, and then only if it would benefit the non-profit organization in some manner.