Cry and call the river. I probably play it exactly the same, since I know what these 6-max calling stations are capable of. Sure 5x or runner flush is a possibility, but there is a pretty good chance villian would have some kind of hand like 8x or Tx, so I probably bet this river everytime. If he calls down in unraised pots with bottom pair, you will get your money back very easily.

Also, if your opponents are this horrible and will call you down with bottom pair, why not just raise preflop and hammer every street? Surely a calling station like this must have loose preflop requirements also. Mixing it up is good against thinking players, but against calling stations it makes little difference.