I didn't see the QQ shove but think about it this way....they only way hes calling from the BB is if he has you beat Aka AA KK or possibly AK....so i don't like a shove from the SB there vs the BB...and if you just limp hes not gonna be shoving AA or KK and if its a weak ace or KJ thats exactly what you want to be way ahead and have him drawing to 3 outs...if you run into AA KK or Ak there and lose you just got cold decked...i would love to be in a dominating position late vs someone with QQ vs kj or Ace rag