Ringer,
I strongly suggest a couple things:
1. Whats printed in the AZGF regulations is that the MANAGING LAND AGENCY sets the off-road rules...so its up to the BLM, FS, or STATE to decide whether or not off-road travel for any reason (including game retrieval) is legal. IF and only IF no other off-road rules are in place by the managing agency, then its fine to go off-road to retrieve game...otherwise you're in violation of the managing land agencies off-road regulations, even if you're only going off-road to retrieve game. This was confirmed through phone calls made to the BLM, FS, State, and AZGF.
2. You better have a good map and know who's land you're on as thats the key to this debate. I know for sure that the Tonto and Coconino NF's have strict regulations regarding ATV use, and game retrieval is not an exception to their off-road regulations. Buy a good Forest Travel plan map as its well worth it to avoid being ticketed.
I'm not picking on you, but this is a classic example of why ATVers are cutting their own throats, they THINK they know the regulations, but in fact, are clueless.
Ignorance and complacency will put the final nail in the coffin of ATV use on public lands....