This is the emissions map I found for Arizona. For a vehicle registered within the purple zones -- testing is required:
https://mygis.azdeq.gov/arcgis/veiareas/
So it's clear to me what areas require testing. What isn't clear is how already titled specially constructed vehicles being brought in from another state are designated for exemption from testing or not.
I just called the Arizona MVD and the level 2 customer service rep told me something that doesn't sound right. They said MVD takes the "classic car" designation from the insurance company and don't make the determination at MVD. She directed me to talk with my insurance company for further information. Is this correct? Again it would be great to hear from someone who's already done a similar out of state title transfer for a specially constructed vehicle to see what they had to do.