did i play this hand wrong?

[Deadmeat]

The blinds were 100/200 and i had AQ in middle position.only one person who was on the short stack had called the blinds before the action got me. So i decided to raise it another 200 just to make it harder on the short stack. The big blind and short stack called. Flop came A,K,Q. BB checked,short stack raised Allin so i just called hoping that the BB would also call since he had a larger stack of 5000. instead he raised Allin which i thought was great, so i called him with my 3500 only to find out that large stack had flopped a straight and i was way behind. (short stack had QJ)

Did i play this wrong? should i have known or piked up that the BB had flopped straight?