Glad to help. In that area, the king salmon are caught right now, the reds are starting to run also. The reds will run through august, which is when silvers usually start, and silvers last the longest, into septermber. Different rivers in the area will have different runs and regulations, so make sure you check those. Trout and dolly varden and some places grayling are really good in these rivers especially while the salmon are running.
Bear hunting is allowed year round, but prefered in the spring for better hides and meat. Black bear is year rounds, pretty much any time, make sure and check regs for non-resident requirements. Brown bear is seasonal with spring and fall hunts. Moose and caribou hunts start at the end of august and go into mid september. Goat and sheep hunts are in october and november. (some september in some places)
Rabbits, grouse, squirrels are year rounds and have high daily limits. These are all covered under a special out of state small game permit which is nice.
If you want to know more specifics about the area, look up the hunting and fishing regulations from the alaska dept of fish and game website, they have both entire documents online, and gives all the information you need to know.