Before I answer your question, I suggest that you consider the impact on your ability to get your architecture license. Now, I work in New York, so you should definitely check the requirements in Arizona, since different states can have very different rules about who can get a license. Typically, you need to work under a licensed architect to earn eligible work experience towards your architect license. Working at an engineering firm most likely will earn you no credit. It's similar to how engineering licensing works: I had to work for professional engineers; if I had worked for an architect that time would not have been eligible for my license.
That being said, though I have no experience with it, it probably isn't unheard of for an architect to do design drafting for an engineer, so I won't discourage it completely, especially in this economy! I just want you to have the entire picture of how it will affect your future career. And I also would not expect to be allowed to do structural design - though again, that may depend on the rules in the state where you live.
Either way, I would definitely highlight any drafting-AutoCAD-MicroStation skills you have. The more software packages you're familiar with, the better. Beyond that, the general advice applies to highlighting writing/speaking/communication skills and any other extra you may have.
I truly hope this helps! Best of luck in your career!