Sorry for the delay in responding. Upland bird hunting is not very good. Usually after the first shots are fired, the pheasant fly down to the lower elevations where hunting is not allowed. Chukars are a better bet but still involve a lot of walking.
Belly-deep, Hawaii has an out of state hunting license. It used to be $95 for the year. It is available on-line and it does require that you have a hunter safety certificate. Rifles have to registered with out police department within I think 3 days of being brought into the state. They have to taken to the main police station in a gun case. If you bring your rifle, let me know ahead of time so I can make sure that you choice of ammo is available. There is a local gun shop with a pretty good selection but it is a small shop. Rifles have to have a muzzle energy in excess of 1200 ft lbs to be legal. 243 on up is what most people shoot. Archery would only require the license. Success with goats, feral cattle and pigs is pretty good with a bow. Getting an axis deer is pretty tough. If you decide on archery, I have a friend who hunts mostly with a bow. I would probably see if he can take you.
I am at a point where my joy in hunting does not coming from the harvest. It comes from the joy of the stalk, nature and being able to share with others. My only request is that as I have a pretty busy schedule, I get advance notice so I can plan accordingly.