D.B.
I use the Champion sports bras. I haven't nursed in a long time, but I don't like my breasts bouncing around either. There's an extra circle of fabric sewn in to the stretchy part to provide more thickness and support, forming cups. That might work for you. Much better than the usual spandex type that forms the whole bra out of stretchy material. They aren't expensive and I find they hold their elasticity/shape well if I either rinse in the sink with a little Woolite or just put in the washer on delicate and then line dry. The dryer wreaks havoc on the elastic! I do all my undies with my regular clothes and put it on "hand wash" or even "intermittent/delicate" which are even slower in both wash and rinse cycles than the basic "delicates" setting which has a slow wash but a fast rinse. Mine have lasted for years because I've been careful. Hopefully this would work for you. Just get a bigger size than you would normally, maybe?