I check marginal hands out of position quite regularly, 2 hearts or no. Some people will certainly disagree. Fair enough. They may well be right. But, I value pot control over what is likely a slim draw, especially out of position. I'm not going to build a big pot to protect my hand. I'm going to try to wrangle a small pot to protect my stack. At the core of my game, I try to win big pots with big hands and limit my losses out of position, especially with marginal hands. Sometimes I get drawn out on and pay a guy off for a small bet on the end. As often as that happens, get paid off by QJ when he bets on the end.
This article describes your hand almost exactly.
http://www.notedpokerauthority.com/artic...small-pots.html
The core choice is around classifying the villain as passive and predictable or more capable of bluffing. I tend to lean towards the latter in the face of convincing evidence one way or the other with this sort of hand. So, I check.