Facing a 2X raise on my BB I called with pocket 10s the SB called before me, so the pot
odds were in my favour with a 9,10, J, flop I felt a little worried that someone could have hit a straight, so I checked after the SB checked and the initial raiser pushed all-in, the SB called, and I was in a bit of a dilemma, did I call or push all-in with the rest of my stack?
After I thought good and long for a while I decided to just call, then I hit a 10 on the turn, giving me 4 of a kind, the SB checked and I then thought they must have made a straight and not improved on the turn as I was now holding the nuts, so I shoved all-in, and the SB didn't hesitate in calling, sure enough when the cards were turned over the aggressive player was holding AK hoping to strike it lucky with a Queen on the river and the SB was sat holding a KQ straight.
This just goes to show some people just fall in love with their hands and cannot fold no matter what other players do.
So, to answer your question? "Yes, I would have shoved all-in"