The B tags are a Montana deer and elk thing, not a Wyoming antelope thing.

It is true that a guy can get several doe/fawn tags (they're generally referred to as type 6 or type 7 tags in Wyoming) but you have to be careful. Wyoming has some pretty confusing regs. Quite often the type 6 or 7 tags have restrictions like being limited to private land, within a certain drainage, between non-normal specific dates, etc. You can also get an extra either sex tag, but generally those tags are leftovers for the east side of the state where public land is much more limited.

I'll stay out of the poo flinging, and just offer that bit of info.