Switching Char Sets w/o WOW restart?

I have two triple box setups on WOW that I like to play using the same 3 WOW accounts, but my server has a long queue that I like to avoid. Is there a way I can switch between these two char sets w/o restarting my WOW process instances? What I would love to do to swap my char sets is log out of my three toons, not disconnecting from the WOW server, set my char set to the other three toons, and log back in.

[MiRai]

Yes:

Code:

1. Log out to your character screen.
2. Choose your desired character set from the IS task bar menu.
3. Wait a few seconds for it to refresh.
4. Log in
5. ????
6. Profit