I second potty training. It can be a rough transition but if she's absolutely hating diaper changes, I think it's time to ditch them! We did big little feelings potty course (and it's on sale right now ☺️)
Genital cleaning is not optional over here. That can cause terrible infections. She protests sometimes but I wipe her anyway. You can try giving her your phone or a candy or something while you wipe the poop but it has to be done whether she likes it or not.
My girl is going through a phase again of refusing baths or letting me wash her hair. I've had to give her "sponge baths" for the past 4 bath nights. Not many suggestions to give, but distract with your phone or video or like others as said potty training. When cleaning her, just a wet warm cloth and wipe front to back is all you need to do. You don't need to "get in deep".
Have you tried any steps towards potty training yet? And for baths what about an inflatable tub in the shower or kiddie pool?