Hi CABass,
We owned our first motorhome for 24 years. It had a seamless fiberglass body like the Coach House and Chinook brands.
CLICK HERE to see many pictures of our old rig.
Exactly as you describe with your PC, that first rig of ours did the same thing. I found it very hard to keep it looking nice and we had it garaged for all but the first 5 years. Like zolman says, the best way to restore the finish is through a restoration process. This is what I recommend for best results with least effort.
Buy a rotary/spinning polisher like
THIS ONE.....not a random orbital one.
Buy
THIS EXACT ultra cut compound.
If you want it to look even better, do it a second time with a more mild abrasive compound like
THIS ONE.
Once all good and shining again, I would use a product like
NuFinishWhen ordering our new PC back in 2007, I went with the full body paint job "specifically" to avoid dealing with the same issues. If ordering a brand new PC with plans to leave it outside in the elements, I highly recommend an
ALL WHITE full body paint job, painting only the house portion to match the original Ford cab portion. The white paint will hold up extremely well to the sun and will also keep your PC interior cooler than dark colors. The white paint will protect all your plastics from UV damage & yellowing. I imagine the cost of doing so would also be quite affordable. I don't know about painting a 2004 all white in the year 2021, but if I owned one with your situation, I would do some research on the cost and preparation for painting. If we did not have a garage for our old and current motorhomes, I would have considered getting them painted all white.
For reference on my recommendation for restoration with the rotary polisher and heavy cut compound, last year I bought a 2007 Saturn Sky that required a mild restoration. The paint was weathered up but could be rescued. I started with this.

This is after using just the first step with the rotary polisher and heavy cut compound. It left fine swirl marks which you don't see here. On a white gel-coat fiberglass body, I don't think you will notice any.

Using
THIS random orbital buffer and the second mild compound, I got it to where I wanted to get to.
CLICK HERE to see many pictures of the end results.