Hi George,
I too am a CA TC (and bass trombone playing) person, so sun damage is not appealing at all. Before I built a TC shed, I tried several cover ups.
1. A large shinny silver plastic/vinyl tarp, maybe 15'x20'. This covered most of the rig and kept the heat and sun away nicely. Silver lasts maybe two seasons compared to one season with a blue, green, or camo tarp. It's not that heavy but you need a tall ladder to get it up there, folded and open it like an origami box.
2. A large, heavy cotton duck 'real' tarp. It weighed about 80 pounds. The one I had lasted for years but was very difficult to take on and off, needing at least two people to make it work. It was a light beige color reflecting the sun.
3. One year we had some heavy snow, so I made a wood 'spine', or mini A-frame for the top of the camper, under the heavy tarp, like a roof pitch to help the snow melt (and weight) off faster.
3. For sun protection, I parked the TC under some big trees. That worked well keeping the sun off, but had residual 'slough' from the trees which wasn't that appetizing.
4. Not for the TC, but our many 4WD's live out of doors and I've purchased a few car covers that work for a few years. Except for the installation and expense I can't see a big woe If you buy a form-fitting TC cover.
regards, as always, jefe
'01.5 Dodge 2500 4x4, CTD, Qcab, SB, NV5600, 241HD, 4.10's, Dana 70/TruTrac; Dana 80/ TruTrac, Spintec hub conversion, H.D. susp, 315/75R16's on 7.5" and 10" wide steel wheels, Vulcan big line, Warn M15K winch '98 Lance Lite 165s, 8' 6" X-cab, 200w Solar