I would try the wolverine, it's pretty much difficult to hunt. You can try a black bear at any time.
BTW, I only had seen one while hunting Brown bear at the peninsula and I'd not a tag for it (There was no season too)
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down by the river on a friday night
pyramid of cans in the pale moonlight
talkin' 'bout guns and dreamin 'bout women
never had a plan just a livin' for the minute