Lock Poker - $750 GTD Bounty - 30/150/300 Blinds - 8 Players - 38 Players left out of 198, if that makes a difference (I think 27 spots paid)

UTG+1 - 11,396
MP - 4,780
HJ - 18,700
CO - 4,847
BTN - 3,932
SB (Hero) - 7,745
BB - 8,508
UTG - 9,352

Pot is 690

Dealt to Hero J, J

2 folds, MP raises to 795, fold, CO calls 795, fold, Hero ???

Obviously, this is a 3-bet but is this a 3-bet shove or 3-bet to 3000 or so just to force the one of the other two to shove (do we even want that w/ JJ)? I sensed weakness with the 1.5x raise and the call, and I have about 20 hands on both villains so I don't have too much in terms of reads. However, with their stack sizes and the blind sizes I felt that there would have been more action if either had a big/bigger hand.

A shove could mean taking the pot down or even taking one of them out (which is great since it better positions me for a deeper run). However, a sizable 3-bet would put about half my stack into the post, which at that point I might as well shove. Thoughts?