There is a head on the market called a turkey lopper, by Hartcraft ( sold under several brand names). I have been experimenting with it as an aerial head for pheasants and such. The base head is a sort of standard replaceable blade head, and with certain blades could be used for deer, but with the lopper blades, which face forward, it is meant to do as you are asking. So far they fly quite well out of an ASL longbow. I shoot them at weed heads and such as well as at pheasants.
Didn't have a lot of pheasant op's this year and although I removed tails and clipped wing feathers, did not kill one.
Might look at them.