10-15 outers, heads up, out of position

[rafiki]

Tonight I ran into a ton of hands where I end up in a raised pot out of position, and by the turn I have a solid 10 to 15 outs and I'm first to act. In situations where I put in a 3rd bet preflop and I have the initiative, it's just bet, bet, and then evaluate the river.

But in other hands when I check/call the flop, and then catch the big draw on the turn, is there really any point at all to doing more then check/call ? I've never seen anyone fold any pair there. Anyone suggest a line that gives me a chance to win the hand without hitting ? I think I'm asking for something that doesn't exist, because even A high calls those turn cr's these days on stars...