Hi: Do you have a suggestion for a short, perenial preferred; but, not necessary, vine; 5 feet or less, that can survive the heat and dry soil in a location against a west facing, full sun garage wall. It is too hot and dry, even with daily watering, for sweet peas. Even bitter mellon will not grow properly. Coral Bells at the base of the vine trellis are also in poor condition.
Well , there are a couple of things that you could try.
If you would consider an annual vine, why not try Climbing Nasturtiums Tropaeolum Majus. “They come in many colours and are grown easily from seed, so are inexpensive. The great thing about nasturtiums is that they thrive in heat, drought and poor soil.
As far as perennial vines go you could try Coral or Trumpet Honeysuckle Lonicera sempervirens. While it would grow taller than 5 feet you could cut it back to your specifications. You will however have to tie it to some form of trellis, as it requires something to twine on. It can certainly take the full sun conditions of your location though and should be fine, if you water it occasionally. https://www.finegardening.com/plantguide/lonicera-sempervirens-coral-honeysuckle.aspx
A couple of other suggestions for perennial that might work in your garden are False sunflower (Heliopsis helianthoides) https://www.finegardening.com/plantguide/heliopsis-helianthoides-false-sunflower.aspx
and Rattlesnake Master (Eryngium yuccifolium) https://www.illinoiswildflowers.info/prairie/plantx/rattlesnakex.htm
Here are a couple of vine resources for some other possibilities:
Good luck with your gardening!