I cant see villains limping range having any kings in it, and I cant see his flop raising range having very many Ace hi no flush draw in it. I think his range has a ton of small pairs and suited connectors and I think I have to call down against that range(?)
If you think this is his range, your still ahead on the turn. You should just bet for value. Why would you want to check against a range that really benefits from taking a free card on the turn.