If you want to do that, my favorite place is called the russian lakes trail, on the kenai peninsula. It is about 20 miles, but that is only one trail. You can go from there to doing the whole resurrection/devils pass trail system, if you want to get in a lot of hiking. The russian river trail is along the upper russian river most of the time, and offers great trout fishing, and on the lower river, trout and salmon fishing. But depending on the time of the year you have to watch out, cause there are many confusing regulations. There are loots grouse in the area also. The last time we went up there, we packed way little food as always, and ate like kings the entire time
Along the rest of the trail system there are a bunch of alpine lakes to fish mostly trout, but a few other species out of. Though you cant hunt them in the russian system, the area is full of bears for viewing, we saw one black and one brown last time we were up there, and that was only two nights.
I've never been there, but I head the alaska peninsula is also a great place to go visit, I need to sometime.
If you really want to come here to hunt, then the type of game will decide where you are going and how long you are going to stay there. IF you get a permit for big game up here, dont waste it, pay attention to the game., If you want to go fishing and hiking, then go fishing and hiking, leaving the big game hunting for another time.