As PC's progress, falling to 0HP in combat gets less and less meaningful. So I have used a rule that whenever a PC is at 0HP at the end of their turn, OR fail a death save, they take a level of exhaustion. It makes the 0HP yo-yo more dangerous, and makes it so "death" has some longer term consequences.

There is at least one resource on this (server? instance? I'm still not sure on the nomenclature, and only just now figuring out how this stuff works)...https://ttrpg.network/c/ttrpglfg