A relationship is nothing without honesty -- so tell him how it makes you have BH and its uncomfortable. The inceased sensitivitity can be either a good, or bad thing... and each pregnancy is different.
I know us women tend to want the intimacy part more than the physical... so see if a happy medium can be found.... (tmi to follow) I found when I hurt after my baby was born that if I put head of the penis inside and used my hands to masturbate him.... that it was satifying for him but it didn't hurt my vaginal wall where I had nerve damage... we had the physical closeness and the intimacy that goes with it... It also pleased him - so it was a medium.
So if it's the phsyical pain - there may be a way around it...
Good luck!