NL10 bottom set on awful board 270bbs deep

[Genesis]

As weak as it may sound I check that turn through an awful lot. Is there a worse card that could come than the K[img]/images/graemlins/heart.gif[/img]? Completes the flush draw, completes the only OESD. What are we left with that you beat beside overpairs and maybe AJ? I'm checking behind, but willing to call near a pot sized bet on the river if another heart doesn't fall.