Let's say SB opens and BB calls

Flop comes 652r

This is a spot where if I'm BB and SB checks to me I'm almost betting 100% of my air. Most players have unprotected checking ranges. There's not many hands SB is comfortably c/c here.

So how do you play your range in SB's shoes? Do you have a c/c range? With what hands? Or maybe even a c/r range? How does it look like?