So I prefer to bet the last two streets with middling hands like this as it allows me some semblance of pot control out of position and makes it harder for people to bluff raise me. Check calling the flop also gets me some value from BTNs that like to bluff at the flop and then check fold later streets.
Perfect example of show down value...which you have. What you don't have is a monster, so, yeah, what Fletch said.