$250 sat - AQ turn and river play

[bazooka87]

HH was on cake so I don't have raw HH. It's a $250 satellite to Aussie Millions where only 1st gets the seat, 2-4 get some cash, 85 entrants.

Blinds are 150/300, my stack is 11k and I raise to 850 UTG+2 with AQo and BB flat calls with a 15k stack, I have no reads on him, except that he doubled two hands previously with AA against A8 on a 1076 flop. Seems pretty tight.

Flop (1850 pot) comes 6810 with two hearts, he checks, I cbet for 1200 and he snap calls.
Turn (4250 pot) Qd putting two hearts and two diamonds on board, he checks, I check.
River (4250 pot) 10c he checks, I bet 2300.

Am I getting value from anything worse here or was this river bet pretty bad? Should I be betting the turn?