Yep, nauga finishes his kit, and it is examined by the inspector.
The inspector gives nauga a form to fill out and send to the FAA requesting a number from the computer list of un used numbers.
Nauga picks one, and sets it in reserved status, to prevent someone else from reserving the same one, and sends off the form the examiner gave him.
6 months later, the Fastest Agency Around sends him a letter approving his choice, and authorizes him to paint it on his plane.
So, 6 months after completion, nauga is now allowed to start test flights, and progress toward flying someplace!
If, of course, the less than famous United States Postal Service did not miss direct or miss place, or shred either the form going, or the one returning.
I personally have never seriously considered a vanity plate, or a special N number, so the present system is fine by me, and more efficient than the proposed cures for a minor problem.