Do you bet your made hands for half pot too? Otherwise I don't like this cbet. I'd also bet the turn harder. But seeing how he raised you, he has a made hand, so if you push you WILL get called, so it's basically going on your 12 outs or 25% to win or something. Not even all of them might be good, if he has a made straight for example. There's also a low chance of this being a semi-bluff of sorts on his part, so the Ace might be an out too. I lay this down most of the time.