Well June is when you will have Kings in the Sustina Valley. It is a weekend fishery (midnight Friday to midnight Monday) for 4 weeks. You will also have kings and sockeyes at Klutina. Memorial Day marks the King salmon openings on the Kenai also. Should be some fishing for sockeye there also.
Are you planning end of June or begin June? How long...Halibut? Lots of choices, sounds like your going to Denali...you have to drive up the Parks HWY through the Sustina Valley to get there from Anchorage.
PM me and I will give you contact number if you want to talk more. I am not a guide, nor an expert, but I can tell you what I would do and where to get the fish your after.
Hope your trip is great and make sure you post pictures when you get home!! Fish ON!
"The Salmon Slayer"