If it still took 30 seconds to log out, I might've been for this, but it doesn't. Most of the time (for me at least), I am logged out the instant I hit Quit to Character Select.
Personally, I just keep a couple of emails to my own global handle in my box with some care packages for alts since I know I will be making some in the future. It is inevitable. I used to trip about SG access for my fresh alts too, until I thought about it and realized I really only use my base as a TP hub until 15 or so. I just started copying my passcode to my email so I have it on hand.
Sorry, not trying to shoot down your idea. Just sharing my own experiences with the same frustrations.