Just checked air can site - $25 each for first two bags and $100
for each additional bag (in this case bounty since first two are suitcase and rifle case).Nice thing is if pay $100 for extra bag (bounty) then no additional charges eg oversize or overweight charges are applied.
You will incur an extra $100 "special handling fee" for your rifle regardless if it is your first or second bag. If it's your third bag it will be $200 total.
Here's the meat rules:
Bounty is accepted as checked baggage.
Hunters require a permit to transport meat from Canada to the United States. Please visit the Animal and Plant Health Inspection Service (APHIS) website for more information.
Charges
If checked separately, bounty counts as one piece of baggage towards the maximum number of checked bags allowed by your fare type provided it does not exceed:
23 kg (50 lb) in weight, and
158 cm (62 in) in linear dimensions (height + width + length)
Additional checked baggage charges apply if:
bounty exceeds above size and weight limits, and/or
if your baggage count (item in this category + number of bags to be checked) exceeds the maximum number of items allowed by your fare type.
Packing instructions
Meat and game must be transported in a leak-proof container or wrapped in absorbent material and then placed in plastic bags inside waxed cartons. Plastic bags alone are not sufficient for transport.