Reading yours and other responses, two factors remain unclear. What type of bow hunter are you, traditional bow or modern compound? Second what type of muzzle loader hunter are you, traditional or modern inline scoped or not.
I have just taken up archery as a fun hobby on my property using both a long bow and recurve. I have not one bit of interest using a compound bow as a hobby or for hunting.
Regarding the use of a muzzleloader, i have a very traditional Thompson New Englander, with period aperture sights. I have no interest in an inline.
For me the attraction of a primitive weapons hunt, is just as ruined with a compound bow as it is with an inline muzzleloader. Using a traditional percussion rifle seems far more "primitive" however than a compound bow.
Given that, the success rates for a primitive archery hunt are so low, I would not choose this option, especially considering the investment of time and money for an out of state hunt.
I have some hunts that stand out in my 78 year old mind-heart as absolutely my best ever. At the top of the list are the ones using this very traditional percussion muzzleloading rifle.
Lastly, we hunt for meat.