Bad shove with top 2-pair?

[stinkysam]

Blinds 50/100

stacks:
Hero is in Big Blind with (1400)
MP (3300)
Button (1900)

MP has been solid and agressive, made a couple of late position steals and hasn't been afraid to shove all of his chips in to chase people out of a pot. Button has just been moved to table has played almost every hand and has not raised alot.

Hero is delt 10 [img]/images/graemlins/spade.gif[/img]Q [img]/images/graemlins/spade.gif[/img]
folds to MP
MP calls 100
Button raises to 200
BB calls
MP calls

flop:

5 Q 10 rainbow

Hero checks
MP bets 200
Button folds
Hero bets 1200 and is all-in

should I have simply called his flop bet? Is there any way from this action I coudda put MP on a set? With an M of less then 10, is this a pre-flop push (I don't think so with a limper and min-raise) Do I fold to the PF min-raise? Did I play it OK and just chalk this up to bad luck?