I didn't read the whole thread so I'm sorry if I'm recycling old info
it is incredibly complex. shipping your gun should be pretty uniform. you'll have to clear it through customs and unless it's fully automatic you should have no problems getting it cleared. ammo will be a different matter but ammo availability for most hunting cartridges, especially black powder shouldn't be a problem no matter where you go.
however each state has different hunting laws, no two states have identical laws and since there is no federal hunting license, the only way to know is to find the fish and wildlife dept from the state you plan on visiting and read the regulations yourself, they are usually pretty basic and can be quickly absorbed or referenced if needed. I'm afraid that's about the most detailed anyone can get.
ignore my complete lack of capitalization. I still have no problem correcting your grammar.
I never said half the crap people said I did-Albert Einstein
You can't believe everything you read on the internet-Benjamin Franklin
Bean counters told me I couldn't fire a man for being in a wheelchair, did it anyway. Ramps are expensive.-Cave Johnson.