Don't have a specific bra to recommend [my day to day is a Chantelle model], but I HIGHLY recommend if you have not already done so to get a professional bra fitting.
I did so one time one a work trip to DC [my "spend time for myself" one evening was to go visit a local mall, and they had a place and I stopped in and voila]. Revolutionary. To start with, I was wearing the completely wrong size bra [as most women are] and ended up in (much) smaller band larger cup. But they were also amazing in not just knowing what size but in the options they provided and what would work for me. The place I went to is now branded a Rigby & Peller, but there are other similar type places. World of difference from the run of the mill-type department store fitter many of us are used to. Only downside is the bras are quality bras and NOT inexpensive. The place I went there was no obligation to purchase any, though I did get two. I've since bought more of the one I liked the most once I was wearing it all the time -- Nordstrom and some other places sell it and I've taken advantage of sales when I can.
My sports bra is a Glamorise, but they only go up to J cup. For JJ you will have limited options brand-wise unfortunately.
Good luck !
SW