J7s vs a big stack with position

[meleader2]

blinds are 60t/30t, tourney is a $5.50 on UB

effective stacks are 5k each

villain in this hand raises to 300t preflop and only I call with position.

I put villain's hand range on the premiums, maybe a smaller PP but doubtful, it's still early in the tourney.

do you consider this a +EV call in the long run, given that my action is to check fold any missed flop and if i hit a J bet into him to see if i can get him to fold AK/AQ? i would never make this play against a stack 1/2 my size, but this just seems right given my implied odds.