Their value range is pretty thin here, KK-AA and almost every 2x which is possible given their vpip is 50% be it only 6 hands.

I can't see myself folding here, expecting to be up against Qx a lot and their stats look fishy enough that they are just button clicking.

The turn is a spot where I don't mind checking back. We're unlikely to get more than one street of value from a worse hand, and the only card we really don't want to see is a K, so our hand is pretty safe.

As played once you bet so small you're opening yourself up to looking weak and letting him try it on. I would have prefered a larger bet if you want to take this line. I would still expect him to call once with any pocket pair or even AK at these stakes. That said once he pots the river I would lean towards believing him and fold given we're a little deep.