Holy Paladin is really fun with melee. The Kyrian covenant is going to be so good with a glimmer build in Shadowlands. Even if it's not good, it will be fun.

Resto shaman is good for ranged. Hunter is probably the only 4x combo I'd want to push dungeon content with.

Otherwise, no, I mean I think you're either playing 4 tanks or you're playing 4 dps and a tank, with hunters being really the only exception. Once you get so high in content, you need a tank (unless hunter), and if you need a tank and don't want to play trinity, then you can't have a healer.