No reads, full stacks.

1. UTG limps, button limps, and I check in the bb with [6d].

2. Flop [6c][6s], pot $3.50. I lead $3.50, UTG folds, and button calls.

3. Turn , pot $10. I lead $9 and button raises to $27. What's my move?

Obviously 54 got there on the turn and it's possible though unlikely he flopped a full.

I would shove. You are going to get called by all 6's and are ahead of that range, (though puttin him on T6 or J6 hands may be a stretch). He may be getting crafty with a draw, and he may even call an all in with 89s or the ilk. And if he did hit the straight, you have plenty of outs still. Shovey shovey.

This is a tough spot with no reads. He did limp the button which might mean he's donkish but that's hardly a read.

I think this is close, but in the heat of the moment I don't see me folding. I would probably end up calling and I'm not sure what my plan on the river would be.

Doesn't calling kinda suck here because I tend to still get stacked when I'm behind on the river but rarely get more monies from a draw/weaker hand?