For the sense motive skill check you need to make for the snake style feat, what aspect of sense motive are you using? Hunch, Sense enchantment, or discern secret message. I am assuming it is hunch but wanted clarification
None of the above. It's a new use for Sense Motive. Note that there is no DC because your check result becomes your AC - you're effectively making an opposed Sense Motive check against the opponent's attack roll.
You are extending your senses to determine where/how your opponent's attack will come before he even makes it so as to not be there when it lands, so it's not one of those three. As weirdo says, it is a new, seperate use defined in the feat.