I have this lovely idea, because sometimes I find myself having little time to play (say 1h30 if I want to do AK), and then I am as DPS stuck in queue for 30 minutes, so I'm unable to actually do that specific raid.

My suggestion: Hand every player one time per day (at "server reset") a Priority Queue Pass. This pass will put you in front of other players when it is being used, and can only be used once per day.

The idea is that this solution has very little effect on the overall queue time, of course this won't work if every single player who else would queue up normally, would use the Priority Queue Pass (Priority Queue Pass).
So expect something like this:
Normally, dungeon queue: 30 minutes [normal]
With solution, dungeon queue: 2 minutes [PQP] + 28 minutes [normal]

Some extra remarks:
* This pass should never be obtainable ingame in another way as getting it handed once per day. No trading, selling, dungeon loot, whatever, etc.
* Whether these passes should stack up or not after being unused, I do not know.

Seems like a win-win for everyone?