I fire this hand up until the river and then check and make a intuitive guess based on sizing and player type. Its a really annoying spot since we block a lot of draws.

When it comes to post flop I agree with @trollord59' assessment. As for the preflop this kind of cold call vs. 3bet is usually super honest (since it's hard to come up with a range for that play that really makes sense). Micro stakes villain most likely has a hand here that he feel is too weak to fold but to strong to 4bet (so something like 88-JJ, AJs, KQs, AQ, sometimes lower pairs etc.)