For hand 2, what do we think about checking flop, betting turn and then checking behind river?

Reasoning being, we flopped a pair, but its really not good enough to value bet. On the turn, the 3rd heart + straight card comes in which is going to give villain a LOT of draws that he'll call at least one bet with. And then obviously on the river we check behind because we don't want to value town ourselves.

The only problem is we'd need a read that villain wouldn't c/r a draw on the turn, and that he wouldn't lead river after calling a turn bet.

Thoughts?