This is straight from the trapping regs. You can snare on public lands for rabbits without a trapping licence. Its hard to find the regs about rabbits but its there!
happy rabbiting
Snares* for taking fur-bearing animals may only be set by holders of Registered Fur Management Licences
or
– by holders of Resident Fur Management Licences for bobcat, coyote, fox, squirrel or wolf (provided they meet the requirements listed in this section) and for beaver (provided the snare loop is completely under water).
– by residents for rabbit or hare on lands to which they have right-of-access (provided the snare wire is not larger than 20-gauge and the snare loop is not more than 13 cm (5 in.) in diameter).
* Snare devices include neck snares, power-neck snares and foot snares.