The wires weren't the parts that caused chafing when wearing my "regular" bras -- the cups did misery to my poor nipples! (and we haven't done your kind of mileage yet this year!)

When we decided to buy bikes this spring, I decided to find a good bra, with no uniboob -- smashing 'em together, all that sweat, nasty heat rash!

For what it's worth, we just came in from a 21 mile ride -- My car thermometer said it was 103 outside just before we left, and it was 88 according to weather.com about half an hour after we got home -- so the temps were in the 90's while we were out, and we had plenty of sun -- I think my boobies (to quote my grandson - oh how he can embarrass his mommy!) were about the driest part of me when the heat caught up with us!

Good luck finding just the bra for you!

Karen in Boise