Without information I could toss a coin between 4b and calling. You could put a gun to my head and I wouldn't fold pre.
If you're a random and you take that line I would put your range at A9, TT, JJ weighted towards TT. I don't think you have anything else in your flop minraising range.

I don't get your reasoning for doing it. You're certainly behind his shovelling range even including all conceivable draws. can't imagine he will just shovel random overcards to that.
You turn your hand face up because I honestly don't think you're doing that with big overpairs, sets, draws middle pairs.
I always thought people do that for information. minraise, and if he shoves you know you're no good, but you call anyway. And if he calls you shut down because you're completely lost in the hand.