Thank you for the reply, Joseph.
Turns out the whole thing is mostly moot. I found a copy of AZ Dept. of Revenue Publication 701 that states:
"Any federal Form W-2G or federal Form 1099 series NOT reporting Arizona income tax withheld is not required to be submitted to the Arizona Department of Revenue (ADOR)."
Thus I only have one Form 1099-R that shows AZ withholding rather than 8. So I'll just use a paperclip to hold the return together.
