I don't know where the White Cloud Mountains are in AZ (could you be refering to the White Mountains?).

You do need a hunting licesnse to trap in AZ, but I believe the season is over Feb 28th. You can go to www.azgfd.gov and look up the regs. You can set up a snare to show how... but you cannot leave it unattended.
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"Trust in God --and press-check. You cannot ignore danger and call it faith." -Duke