I've cut pelts but only straight cuts and taper cuts for tails. If the strips are thin enough you get a crosscut effect but need to wrap more times.
I used the same technique as JohnD, cut from the pelt using a pair of Fiskars squeeze scissors using the tips of the scissors.
I would go chat with the ladies at the fabric store. Every time I've asked such a question at the check out counter, any craft savvy gal in the vicinity would come flying over to offer advice.
Maybe you could ask a fur-coat maker, they would definitely know. Is Walter Dyer's still in business in Boston?