What will grow on a trellis in full sun?

Question

I live at 2400 ft in Mojave desert of Arizona.

Answer 1

Whew, that's a harsh environment for most plants.
Here's a list from a Las Vegas nursery, but your elevation will narrow that down considerably.

Here's another list:
https://homeguides.sfgate.com/high-desert-plants-grow-chain-fence-60461.html

Consider the last two selections mentioned;
hacienda creeper (Parthenocissus tricuspidata)
and Lady Banks’ rose (Rosa banksiae)

A local garden center would be the best resource.