The Double Min Raise

[Groty]

Live full ring 5/10 NL; I've got about $1000; opponent has around $1300; we're on the second orbit of the button since I sat down and this is the first pot my opponent has played.

Table folds to me in MP with 8c,8s. I make it $30 to go. Folds to SB who makes it $60. BB folds. I call.

Flop: 8, 10, Q rainbow ($130 in the middle)

SB checks, I bet $125, SB min raises to $250.

Never having played the guy before, the preflop min raise followed by the flop check/min raise confuses me. I decide his most likely holding is AK or AJ but I don't have alot of conviction in that.

Is pushing here with bottom set the optimal play given how the action went down?