Talking north central WY you are around the Bighorn's which is where we take a half dozen deer and antelope every year. We are no longer head hunters but back when we took bucks we found no meaningful difference in the taste when good field practices are followed. Your outfitter should guarantee good practice. I have a slight preference for antelope and with doe/fawn non-res tags only $34 with a big freezer you can get some very fine eating for very little.
