Hi! I just went out of a 5$ MTT, and I wonder how I should have played the last hand. About half an hour into the game, blinds are at 25-50, about 400 players left

I'm in the BB with about 1900 in chips
two people in MP calls and SB completes
I have [10c, 4c] and check.

flop
[10s,6s, 9h]
SB check, I bet around 1/2 the pot
One person in middlepos minraises me(his stack covering just covering me, no tells), the rest fold.
I call the raise.

turn
[4h]
I hit two pairs, but a scary board. I therefore bet the pot, about 800. He reraises me all in, and I call the last 800.

He shows [10d,6d] and takes the pot.

what could I have done to get away from this hand? How would you guys play it?
Thanks alot!