I'm not sure but I don't think I had any reads on villain.

This flop isn't supposed to be good for me and I just don't have a ton going on. Still, folding seems a bit too tight, so I call.

Very good turn for me, as I suddenly have top two. This is a pretty unusual line for me to take on the turn (though I've been experimenting with half-pot raises in other situations). My thought process at the time was that I both block and can represent KK and that the Kc is way better for my range than villain's. However, villain could have flopped a set and be doing some pot control on the turn. So I decide to raise for thin value against the draws and two-pair combos in their range, without raising so much that I can't get away if I 3bet (as the plan was to check/raise/fold). When button calls instead of raises, I'm pretty happy because anything that has me beat on the turn is very likely to 3bet for protection.

There were turns I was ready to shove on; this wasn't one of them.

How do we range villain here? Are they so bluff-heavy that it's a snap-call for the price?

It's kind of a strange shove from villain, because 65 is potentially their most likely straight and it might be something they just check back to keep from value-cutting against a cautious T6 or even a JT that is trying to induce from cc.