I asked a similar question a little while ago and since then I think I’ve found something that works. I started with a slicker brush that has the little plastic balls on the end of the tines and it didn’t do anything. Then I bought a Furminator, which works great, but I try not to use it a ton becuase I’ve heard it can irritate skin and cause bald spots if overused
So I use the Furminator during sheds, but I’ve found a regular slicker brush (no little balls on the end) that seems to work really well and pull out some hair whether he’s shedding or not. And it’s made for small animals with delicate skin, so I think it’s pretty safe and probably doesn’t hurt him at all.
You said your bun doesn’t like being brushed, and it may just be that she’s anti-grooming in general. You can always try plucking the tufts out, using a lint roller, rubbing her fur with damp hands, etc to get the hair out. I find it helpful to put my bunny down in an odd place (for him that’s out in the open in the middle of the room, which makes him a little nervous) and he stays pretty still while I brush. If I try to do it near his cage, he just jumps to a place where I can’t reach him.