$3.4 JJ preflop awkward stack size with limper

[malnek]

PokerStars Tournament, Big Blind is t100 (7 handed) Converter on pregopoker.com

UTG (t3240)
UTG+1 (t1275)
Hero (t1575)
CO (t2910)
Button (t1575)
SB (t2560)
BB (t1865)

Preflop: Hero is in MP1 with J[img]/images/graemlins/diamond.gif[/img] J[img]/images/graemlins/heart.gif[/img]
UTG calls t100, <font color="gray">UTG+1 folds</font>, <font color="red">Hero raises to t300</font>

UTG range is huge.
I felt like I was a bit too deep to shove. If this is a shove, how many bb's do you start shoving this hand with one loose limper. I would have raised less preflop but its hard to type in 250 while playing a gajillion tables.

With my stack size, if I continuation bet the flop and get a called ive invested a ton of my chips. 50-100 blind level sucks!