Just read up on the thread, I've actually had first hand experience with trying to find a way to accomplish this. We used two p2p accounts and a f2p account linked to receiving p2p. This allowed the item to me mog'd and moved to an account linked with the f2p account which was the intended final recipient. Then a gm was contacted and agreed to move the item to the f2p, however like it was speculated already it came as a gm letter without the mog. I assumed this is because the gm moved the item in the most direct sense, unlike players that have to jump through hoops to try and protect the mog.
I was just the p2p that mog'd the item then traded it, so I don't actually know what was asked of the gm to move it to the f2p toon, but honestly I'd say your best hope for this is to be direct, tell them you're a twink, any decent gm will know this already, and explain what you are trying to do and why its important to you. Your sucess rate does seem low but just at it, good luck.