I need headphones that fit over my hearing aids

hello all. I am partially deaf. I recently got to use a pair of airpod maxes and holy crap i want headphones. I've always just used my hearing aids and connected them to stuff, but now that im older and people talk to me on the street and stuff, I need something that visually tells people i am listening to music. Heres what im asking: what are a pair of headphones that are shaped to fit over the ENTIRE ear, similar to the airpod maxes. ideally, anything below 600, but ill take any recommendations. I'd be using these headphones wherever I go.