I would stock as many 6"+ LMB as you can as they will be your primary tool in limiting recruitment of more carp over time. A LMB heavy pond would be ideal with restrictions on harvesting LMB. You will still need to find an effective way of thinning your current crop of adult carp down with some of the methods already mentioned.

Nedoc and I discussed RES as an experimental way of controlling carp the other day which just might work in conjunction with a heavy stocking of LMB. My experience with RES is that they love to eat small fish and they may help in limiting recruitment of young of the year carp. More importantly, RES also share a very similar diet with common carp, carp will eat vegetation but "prefer to scavenge the bottom for insects, crustaceans (including zooplankton), crawfish, and benthic worms". Having some competition for the same food resources carp prefer is likely a good thing.