Flop big draw: Now what

[mmix85]

Playing $2-$4 NL. Opponent has $568 I cover.
Opponent raises to $14. Button calls. I call in small blind with QsTs.

Flop comes KhJs8s

My question is what do you think the best way to approach the hand is. Is it best to check call; lead out and 3 bet if raised; or go for a check raise and lead out turn strong.

In the actual hand the opponent bet 30 and I checkraised to 95. He called and the turn brought a 2 of diamonds. I bet 175 on turn which he called. The river brought nothing and he checked down his AK.