Lock Poker NLH 9-max $7 + $.70 - 50/100 blinds - 7 players

SB - 2,425
BB (Hero) - 1,467
UTG - 2,015
MP - 1,685
HJ - 2,433
CO - 1,505
BTN - 1,970

Dealt to Hero - 1010

fold, MP raises to 350, 4 folds, Hero is all-in, MP calls

MP shows - KK

Should I have just called OOP w/the 10s?

I thought I shove might get the villain to fold. I also decided against a call b/c there would have been a lot of cards OOF that I wouldn't want to see, putting me in a tough spot. Is my reasoning wrong or did I just get unlucky?