All you can do is try to make the character while the restriction is lifted.

The restriction is determined real time by how many online players there are on that world at any given moment. If there are too many players, the restriction is activated, and vice versa.

Your best chance is to design his character now using a free trial and save the character design (the character creation system allows saving and loading of character designs). Then, decide upon a name and a deity for the character. Wake up in the early morning EST/EDT hours, something like 3 AM, and try to create the character. Early mornings is when the restriction is most likely to be lifted. If it is lifted, quickly create the character by loading the design and typing in the name he decided, choose the deity he decided, and create the character. Emphasis on quickly, as the restriction could again activate before you finish. Once it's done, you can go back to bed until a reasonable hour. :P

You can attempt to use a Free Trial for all of this.

Exodus is one of the more populated NA worlds, last I checked, so even in the early mornings you may not get the chance. To make your chances even worse, the expansion is still new so many are often logged in throughout all hours of the day due to a resurgence of players. You may not get into the server anytime soon. Or you might get lucky and get in on the first attempt.

I wish you luck circumventing this restriction system; the most retarded decision that SE ever made.