I've been thinking about this and I really hate betting the turn. I know this spot is gross and betting the turn is easier but surely it loses value - if we are willing to invest more in this pot surely it is better to check and call a river bet. This has the advantage that we will occasionally catch a bluff and we will often see a free showdown.
If we aren't willing to call this river there's no way we should bet the turn, we should just shut down.
I may well be miles off though....