I just though about this: why don't you try to "hire" semi-gms that have no power on the game but when they are free they can clean trash tickets and leave the real ones to the gms? I think this could be a great idea. Maybe one guy deletes trash tickets, and another one double-check the tickets deleted by the guy, just to be sure he didn't do mistakes. Some guys helping with the tickets on their free time.
I would do it honestly, considering today I stood in darnassus like 6 hours straight doing nothing (still standing..), at least I could do something and help the community in some way, I'm sure there are many people who would like to do this, I don't think they are busy (game talking) 100% of the time they are logged in, just take a look at capital cities, tons of char doing nothing on their mount. U know.. "what could I do while I wait for the tank to join rdf? I could help cleaning tickets, or replying to the easiest ones"..Or when I literally finished what I needed to do and I'm just jumping around in elwyn forest or orgrimmar for no reason..This is time "wasted", I mean for sure you can log in and randomly chat, observe the clouds, do a ride on the zeppelin, it's a game...but you can also use that time in a better way, if you have nothing else to do, maybe you find it interesting?
I personally say I would do it. (Now I don't know your requirements for testing a new moderator/helper/whatever.. but well I said I would do it, just tickets, I dont need powers like teleport or gm island or other stuff. I would be also very happy to to see someone here in the topic offering himself aswell for this "job", for real, it's something that benefit all of us at the end.
(It's obvious you can't give the power of deleting/replying tickets to the first randoms, but I don't think it's a bad idea to introduce a new "gm rank", it could be one step ahead into the overall happyness?)