Another site to check out is
http://backstagejobs.com/I don’t have AZ specific advice, but if your main goal is to make connections and gain experience, you could try looking at the websites of the smaller professional theaters in your area, and then simply calling up their Production Managers to ask if they have any non-eq ASM, crew, or overhire positions available. I know several eager young ASM types who got entry-level jobs through a cold call. Just be ready to take something that is low/no pay, and probably one show at a time, rather than a season contract. Even if the PM isn’t hiring, you can ask them if they know of any theaters that are, or where you can look to find out about open positions. If you’re sincere and courteous, you may be surprised at how generous people are with their knowledge.
Also, when you do find that first job, talk to your fellow thespians about where they look for openings, as there may be local websites or email lists that can help you.
Good luck!