Don t know of any specific Big Bear cabins that have a bear skin rug, but you may be able to find one here:
Christin is right. Just bring your own. I ve rented quite a few cabins in my time, and never seen one with a bearskin rug. If I owned a cabin with one, I d put it away for the renters. Renters don t care about your nice stuff.
Why not just take your own bear skin rug? You can buy one and shove that puppy into a suitcase and voila! Then you could rent whatever s available.