Those fans typically have a start capacitor (cap). Some have a run capacitor as well. You'll probably have to pull the Coleman TrueAir from out of it's cubby hole, open the top of the case to find those caps. That's for the big fan that blows straight down. All the other caps are accessible from under the name plate so the Coleman doesn't have to be entirely removed.
Assuming you have a 2001-02 RV since you don't mention it, here's my blog article on doing the job. I believe a shop that knows what it's doing can have it done in under 3 hours. Coleman Mach
Unfortunately, you might have to wait until fall to get it into a shop anyway, so might as well do the job yourself. At least pull it out, then call a Mobile RV tech to come work on it.
But first, just open the grill so you have access to the cover plate, remove that, and replace all the big motor caps you find. Those caps at the bottom in this picture.