I would imagine a hunt like that would be 10 days?? Why not bow hunt for 7 and then if time was getting short, gun hunt the last 3? (or 5 and 5 you get the idea)

Or if possible (and Legal) carry both weapons and try for the bow, but on a true trophy you may opt for the gun, then to risk sneaking closer.

Either way your first step is to find an outfitter and tell him what YOU would like to do and let him help you. After all you are the customer.