Should these 10's have been shoved or raised?

[pdxjayhawk]

Party Poker No-Limit Hold'em Tourney, Big Blind is t100 (7 handed) converter

MP2 (t2745)
CO (t528)
Hero (t985)
SB (t604)
BB (t1261)
UTG (t825)
MP1 (t1052)

Preflop: Hero is Button with T[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/heart.gif[/img].

Hero has been on auto fold for quite awhile. The previous hand I hand done a blind steal from the CO with Ax.

Big stack limped in for 100. I popped to to 350. Folding around to the big stack who shoved.

I couldn't hit the all-in button fast enough.

But here's the question. With those stack sizes, was the 3 1/2 times raise the right play, or should those 10's have been shoved right away?