Hypothetical protect hand question: raise, cold call or fold?

[7stud]

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and with 4 outs to the nuts you can't fold here

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4 outs to the nuts? As far as I can discern, there are redraws to quads, a full house, the nut flush, and a higher straight.

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The raise is rather a way of buying outs and getting a freecard.

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What indications are there that either of the two opponents is going to fold versus reraising, or that raising into two raisers will get you a free card on the turn?

In addition, if no overcards hit the turn wouldn't it be likely that a flop raiser would bet the turn?