Pretty miserable spot.. I think its hard to think we are ahead enough here if they money went in on the flop. A lot of his pps, suited connector type hands got there. I really don't have a problem with a fold against this type of player.

Either we are behind or the villain has a lot of equity against us..

As for flop bet sizing, I think its fine.. you want to bet big to cut out any chance of being bluff raised so I think anywhere from .40 to full pot is fine.

If you had some specific read that the villain likes to bluff flops with this texture the hand would obviously play different. But as is, you only have a pair of queens.. there are probably better spots to get it in.