HU Against CS, should I check turn for free card or keep betting?

[Cooker]

The bet on the flop is almost certainly correct since you are a favorite over everything but perfect 4 card ball busters like Kd Kc Qd Jc (that hand is still only a 3 to 2 favorite).

I would probably check the turn.

I would probably not bluff that river card. He called you with something and if he picked up any kind of low he is calling on the end and probably scooping.