Flop 3-bet Bluff against Overpair?

[donkey]

This is a situation i've run into several times and wonder if this is a profitable time to run a big bluff against a good player.

lets say Villain opens for 5xBB UTG and i'm sure from previous experience this represents a big pair or AK. I also know Villain is a solid, tight thinking player.
I call in BB with 2 cards.

Flop comes down J72 rainbow. I lead for pot. Villain raises pot. I push all-in.

Assume the stacks are big enough so Villain is getting less than 2:1 on his call.

If Villain is solid can he really call me with anything except JJ? If my table image is TAG i have to have a set right?

Do you think this is a profitable play to occasionally make with any 2 cards? Should I only do it with a hand that has some outs such as 67 or 89?

I've found myself in this situation several times where i was pretty sure I would win the bot but didnt have the balls to go through with it.

what do you think