Not sure you can legally snare rabbits.
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Can't find rabbits listed in the furbearers guidebook.R657-6-6. Authorized Weapons.
(1) A person may not use any weapon or device to take upland game except as provided in this section.
(2)(a) Upland game may be taken with archery equipment, including a draw-lock, a crossbow, a shotgun no larger than 10 gauge, or a handgun. Loads for shotguns and handguns must be one-half ounce or more of shot size ranging between no. 2 and no. 8, except:
(i) migratory game birds may not be taken with a handgun, or a shotgun capable of holding more than three shells, unless it is plugged with a one-piece filler, incapable of removal without disassembling the gun, so its total capacity does not exceed three shells;
(ii) cottontail rabbit and snowshoe hare may be taken with any firearm not capable of being fired fully automatic; and
(iii) Sandhill crane may be taken with any size of nontoxic shot.
(3) A person may not use:
(a) a firearm capable of being fired fully automatic; or
(b) any light enhancement device or aiming device that casts a visible beam of light.
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