There’s not any specific model that’s universally going to be better than any other in avoiding blisters.

You sound like you’d be looking at cross-trainers rather than running shoes. Running shoes can’t handle the side-to-side motion and sudden stops required in sports like basketball and raquetball. You’re likely to hurt yourself if you try to use them like that.

I’d frankly suggest trying to find different shoes for each sport if you’re doing them regularly and all on the different surfaces you’d normally do them on. It might be more expensive up front, but split up like that the shoes will each last longer, and avoiding injury is a good way to save funds in the long run.

But whatever you do I wouldn’t use running shoes for all three.