Thoughts on this hand?

I've just started trying to use a programme called PokerSnowie and it seems to think my flop shove was bad. I'm finding i'm disagreeing with this programme constantly. Is it crazy to shove here?

I didn't think it likely i'd be called by the other player (what would they call my tiny bet with that they would then call a huge all in with) and i needed about 30% equity against the other to be break even. I put a reasonable range into pokerstove for this player and it said i'm 38% against it.

€0.05 NL FAST (6 max) - Holdem - 6 players

BB: 360.8 BB
UTG: 100 BB
MP: 47.8 BB
CO: 154.6 BB
BTN: 109.8 BB
Hero (SB): 94.2 BB

Hero posts SB 0.4 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.4 BB) Hero has As Kc
fold, MP raises to 2 BB, fold, BTN calls 2 BB, Hero raises to 5.6 BB, BB calls 4.6 BB, MP calls 3.6 BB, BTN calls 3.6 BB

Flop : (22.4 BB, 4 players) Js 2s Tc
Hero bets 4 BB, BB calls 4 BB, MP raises to 30 BB, fold, Hero raises to 88.6 BB and is all-in, fold, MP calls 12.2 BB