[jcm4ccc]

So basically you were looking for a flop that:

1. Had no overs
2. Was checked by your opponent

This is extremely weak play with a pair of queens and shallow stacks. Especially with evidence that your opponent will overplay small pairs.

The bottom line is that you had the third best hand in Hold 'Em, and you let your opponent (who is out of position) control the hand from start to finish.

Frankly, the whole tone of your post suggests that you are weak/tight, which is a major leak. You keep talking about minimizing your losses, rather than maximizing your gains.

Push preflop. Push on the flop. Just do something.