If you are only going for a few days, and hunting with someone that is a resident, you can have them try and get an Apprentice lic for you to hunt with them for a few days from the AZGF office. Those are free.
It also depends on where you are hunting. If you are hunting near a Indian reservation, like the Navajo, you can buy a year lic for $30 and hunt on the reservation.
Yes, it is rape..
It's almost cheaper, last time i checked to get a Colorado Elk tag vs. an AZ in state tag. The Elk tag for az is $148 for resident and 10% of the tags are saved for non-res for $665, the resident hunt fish is $57, and things like turkey($38) and deer($58) are also kind of pricey in my mind.