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Basically, I'm looking at whether or not it's worth it to raise to try to get rid of some gutshot should the river come a T. Obviously a 7 wouldn't go anywhere there with the 6 being present.

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I wouldn't worry about it now. After raising the flop, the worst you can offer a gutshot is 8.5:1 and even if you get every gutshot to fold, the T is still dirtied by any 7.
You won't add anything to your equity by raising here, just call.