Villain is a tired old man who I've caught bluffing in a previous hand. We're playing 200NL $1/$2 blinds with a $200 max buy-in at a local card room. This was live game, so there isn't a hand history converter. Please bear with me. Here's the action: 

Villain limps in early position and I'm dealt KQo in middle position. I elect to raise to $13 which has been the standard throughout the night and because Villain often has a weak limping range. Folds around to the BB and Villain who both call. Effective stacks are roughly $180. 

Flop: Kh Th 4s

BB checks, UTG checks, and I c-bet $21 both for value and protection. BB folds, and UTG calls.

Turn: Qs, bringing in multiple straight and flush draws. 

I bet $52, Villain shoves $152. I call. What's the correct play? We're getting 1.85:1 or roughly 35.09%. Could Villain be shoving his draws or is my $52 bet so strong that when Villain shoves he only has sets and made straights because we block weaker two pair combos. Thoughts?