This is more of a runner problem. For those of us who were born with man boobs it is fun running/riding with getting chafing. I use 3m tape. It stays on forever. Just use a some lube right the nipple so when you take the tape off it, does not take skin. Learned that one the hard way.
http://solutions.3m.com/wps/portal/3...beB385P3RT67gl