With the 3.3.3 patch, the queue for random battleground window doesn't show which bg are you gonna enter. And as we all know few people don't like certain BG's What to do is:
-while in queue, stand near goblin dude where you queue for arena
-when the join BG window pops up, queue for 2v2 skirmish. Enter the bg and see if you wanna stay or not. If not just enter the 2v2 skirmish and then leave skirmish you will actually get no debuff.
(AFAIK on almost every single battlegroup 2v2 skirm queue is instant, eventually you will get it abit later)