I've heard good things about Franmar's Soy Strip on fiberglass. I haven't used it, but several boat folks I know have. Of course I would still test a small area.
One thing you may have going for you is that many people aren't aware of the fact that they need to remove the mold-release wax before painting
, so the paint may come off easier because of that. On the down side, they should have sanded, so your gel gloss may not be there anymore when you get to it. Now, you can perhaps wet sand it to bring it back, but there may not be enough material there. You'll have to see what you find when you get the paint off and then do some experimenting.
Once you get back to the gelcoat, and if it is not salvageable, I would opt for bringing the pieces to a paint shop and having them sprayed with a good, two-part paint (or perhaps masking them off in place and bringing the whole trailer if you don't want to remove cabinetry).
And, as others have mentioned: We'd sure love to see your new egg!