It is legal to snare rabbits, yes.
As far as snaring on a trapline goes, there is no law against it either, one must realize however that there is virtually no crowwn land that is not registered trapline in Alberta, just some lines that are not being trapped at the moment.
Common courtesy must prevail, as in not snaring on a trapper's trail ,etc.
The trails near town are forever being snared by recreationalists looking for rabbits, but often they disturb long hair fur sets as well as the trapper's rabbit snares.
I would ask for all concerned to please use some etiquete when travelling a trapper's trail.
You may find a saw , traps, gas, etc under a tree or cubby, but do not think they are "lost" or abandoned, they were left there for a reason and beelong to someone.
cat
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Anytime I figure I've got this long range thing figured out, I just strap into the sling and irons and remind myself that I don't! 
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