We've pretty much determined that the email doesn't work anymore.

It seems like you have to call the Cake Hotline/Private Dining at your resort.
Yes, if you are staying at a resort that has Private Dining (aka room service), just call and speak to that department about what your options are.
Here's a post with everything you've ever wanted to know about ordering a cake from BoardWalk Bakery, including prices!
http://www.disboards.com/showpost.php?p=31694108&postcount=580
The Cake Hotline only handles cakes that are delivered to restaurants. They don't do hotel cakes or cakes to pick up.
Since POFQ doesn't have Private Dining, there is no one to facilitate delivery of a cake there. However, I remember reading once that someone got a cake delivered to their room at a Value resort, so it can't hurt to call POFQ and see if they can put you in touch with someone who could help you.
Alternatively, use the Cake Hotline to have one delivered to you at a restaurant during your trip, or order one to pick up from BoardWalk Bakery. (link posted above)
Good luck!