Go to Homer. Nice little town. Side trip to Whittier through the tunnel. Then back on track and side trip to Seward, backtrack and on to Cooper Landing and Soldotna before hitting the Halibut Fishing Capital of the World (at least that's what it says on the sign).
Camp in the Homer Spit municipal campground. It was around $15 night per spot, IIRC. No hookups, but the scenery can't be beat, and the eateries and shops are also plentiful along the spit. Visit the "Rum Locker" for supplies if so desired (ahem?). There's even a Starbucks and a McDonalds there.
Basically, just explore the Kenai Peninsula. If you get lucky, the weather will be good.