I've been having a lot of trouble recently in pots which limp to us on the blinds, and we flop mediocre tp type hands.  This happens in live poker pretty frequently at $5/10 and below, so I've thought about it a lot, but I still have no idea how to play in these spots.  We usually are desperate for protection, so checking seems bad.  But by betting, we get folds infrequently, and end up with bluff catchers on the river >80% of the time.

Here's an example hand from yesterday:

Hero is BB with JTo.  Three recreational, but not horrible players limp from early/middle position, a decent reg calls from sb and we check.  All stacks are over $500.

Flop ($25): Jc7c3s.  Hero bets $20 and gets one call from a nitty rec.  

Turn ($65): Jc7c3sKs.  Hero c/c? $25.

River ($115): Jc7c3sKs9s.  Hero c/blindly guesses $35.

I feel like I get to this spot by the river a lot and it basically doesn't matter what I do.  I expect villain to play KJ,J9s,T8s like this a lot, and maybe 33,77, AJ, J7s, K7s, K3s.  Also for value he has random Kcxc, backdoor spades and possible some random 73s, AK type stuff that villain shouldn't have but does because he's bad.  On the other hand, he can have a bajillion missed fds/straight draws/7x/3x which he may or may not decide to bluff, and I'm getting great odds.  The whole hand feels bad, but I'm not really sure how else to play it.  For example, say I decide to check flop:

Flop ($25): Jc7c3s.  Check to villain who bets $20, hero calls? everyone else folds.  

Turn ($65): Jc7c3sKs.  Hero c/c? $25.

River ($115): Jc7c3sKs9s.  Hero c/blindly guesses $35.

Additionally, when the flop checks through and the turn comes Ks, we probably have to fold to any action.  I feel like when we check we're basically on a trips/2 pair draw and very rarely are able to show down our one pair even when it's good, but maybe 5 ways tpmk is a weak enough hand that this is our best option.