Juno by Moving Comfort - worth whatever you have to pay for it.
I used to be very heavy with 46DDD - as I lost weight (97# to date - woo hoo!) and was running and biking, I found that the Champion bras just didn't have the support I needed for runs. I have a couple of their underwire ones for biking though, because I like not having a uniboob. The Juno does have moderate uniboobage, but it's not hideous. The velcro straps are very secure and extremely comfortable. I don't get slippage or ride up, other than a little from just moving so much.
The bounce is well controlled without feeling like I'm gonna die, although when I first put it on, I was sure it was too tight. Wear it running a few times and you won't think so though!
Measure yourself CAREFULLY and get the right size. In "normal" bras, I'm in a 40DD, and in the Juno I wear a 40DD or a 38DD, depending on how I feel that day. I did a 10mile race a few weeks ago and got a little chafing where I didn't have RideGlide on the straps, but nothing really painful. More like a "huh, look at that." There's also enough coverage in the cups to carry a gel without it rubbing your skin raw. I wash them in the machine - gentle cycle with my other running/biking clothes and use sports wash, not regular detergent, and I hang them to dry. Pretty colors too!!
Also, if you're looking for good sportswear for larger sizes, look at AeroTech Designs. I bought my triathlon clothes, running, and biking shorts there before I could start shopping in the normal retail places. In my opinion, still the best place for biking shorts online. Made in America too!! 
Good luck and run happy!