Bet top set? QQ on moderately coordinated board

[Texas Pete]

How big were your c-bets? Personally mine are 1/2 pot, so i'd be betting 1/2 pot here, hoping the BB called with A7-8, something like that, or one of these guys has the Ad, read my bet as a bluff, and push into me. If your c-bets were bigger then your bet here is fine... but then, wouldn't your c-bets be a little too big (separate issue)?