I know what I would do, but I hesitate to advise you.
My pool builder said "salt or stone, pick either one, but you can't have both". My pool was designed and built as a salt pool, with no stone of any kind anywhere. No coping, just a cantilever edge concrete deck, and even that has a textured acrylic coating protecting it. Nothing anywhere for the salt to damage.
Travertine is not one of the very soft porous stones like flag stone, but all stone is subject to salt damage. Sealer will slow, but not prevent salt from eroding stone. In hot dry climates the salt damage is worse, so at least that's in your favor. Your pool, your choice.