$100 tourney FT BvB situation

[Dan87]

Down to the final 5 of a 66 person tournament, we are all in the money.

Blinds are 1000/2000 300 ante. Average chip stack is 30,000, I have just under 23,000, BB is chipleader with 60,000 my read is he is aggressive. Earlier I saw him push over a raise with KTo and another time overpush over a button raise with JJ, got called by KTs and won.

Action folds to me in SB and I see A6o and limp in. BB raises to 7000, I instapush allin.

Good? No FE? Ugly? I have a lot of trouble in these late tournament scenarios. If I raise PF I'm just going to go allin because Im too short to make it 6k without committing myself, and I figure I will only get called by a better hand. I can't fold an Ace in BvB with an M of 4.5. So limp raising seems like the best play, assuming he will raise, but I limp and Im OOP the rest of the hand if he just checks. I don't really like any of my options in this hand.