Canada has taken the "hide in our basement for the next _?_ years" approach. Some states are taking this approach too.
I feel bad for those who would like to go and give business, but from what I read pretty much everywhere, Americans are not wanted nor welcome in Canada.
Idaho is the best state for a nonresident to get a shiras moose tag and it is not even close.
Yes, it won't be a picnic and it won't be like a pronghorn hunt where you sift through 40 males before shooting one, but it is a moose hunt and unless you have max points in WY, nowhere is better.