groups whose musical direction I can totally get behind, but whose style of vocals really puts me off

This is The Cure all the way for me.

Black Country, New Road

before I even opened the thread I knew

The Beau Brummels
Lambchop

I'm bound and determined to keep listening to Emitt Rhodes's s/t until I get over this hump. It's so clearly my kind of thing, but the vocals just aren't landing right in the mix, for my ears.