Send me a msg and i'll dig through my sports drawer when i get home tomorrey. 10I here. I have an awesome bra. I can go trampolining in it (and have).
edit: Ok what you want is a Shock Absorber. I got mine at Brava, but they don't seem to have anything over GG atm - regardless, worth talking to an actual professional fitter or looking up the wear guide because they will go over the details on how to put one on. They have these pockets kinda like sportwear does for penis havers to secure the junk, but if you don't tuck into them they actually just sit nicely in the cup out of the way. They are snug, but don't impede breathing and not really any more exxy than any decent E+ bra.
There are non-black colours too.