upon further reading, im not 100% correct.. you may use shotguns, bows, crossbows, muzzleloaders, and revolver type pistols, just not centerfire or rim fire rifles...

from the Firearms restrictions page in the pamphlet


Firearm Restriction Areas
It is unlawful to hunt wildlife in the following firearm
restriction areas with centerfire or rimfire rifles, or
to fail to comply with additional firearm restrictions,
except as established below.

In firearm restriction areas, hunters may hunt only
during the season allowed by their tag.

Archery tag holders may only hunt during
archery seasons with archery equipment.

Muzzleloader tag holders may only
hunt during muzzleloader seasons with
muzzleloader equipment.

Modern firearm tag holders may hunt
during modern firearm seasons with bows
and arrows, crossbows, muzzleloaders,
revolver-type handguns meeting
equipment restrictions, or legal shotguns firing slugs or buckshot.

so shotguns would be allowed in the no shooting zone, just not rimfire rifles, or centerfire rifles... basically they dont want dickweeds out there with .300 win mags shooting within 1000 yards of someones home and not paying attention, and killing someone... would be quite hard for the allowed weapons to acheive that... if even possible..