I'm from southcentral Alaska and have spent a little time on the Kenai peninsula, although I've never been to Halibut Cove (my daughter has and said it was wonderful). My son-in-law is from Homer.
Most of the state has a lot of public land. If there's some near you, you might try some 'stealth
permaculture'. While you will run into trouble if you put a building on public land, you can usually cut
wood, and berry, etc. If a few trees, bushes or plants show up on the public land, well, obviously you can't claim them, but you're the one who knows where they are and you can harvest. When I was growing up there were strawberry patches out in the woods, usually in the clearings of old, abandoned homesteads. The lucky few who knew where these patches were held the information pretty tight, since the patches were too small to support large numbers of pickers. You could do the same thing with
nettle patches, raspberry, comfrey, onions, garlic, etc or maybe even blackberry (Halibut Cove doesn't have the -50 you see around Talkeetna). Of course the wildlife will get it's share, but it would open up lots of room for you.
Are you pickling the seaweed? When I lived in Ketchikan back in the '70s the
natives and old timers would pickle seaweed, especially the bulbs on kelp.
Another possibility is a raft anchored in a cove with a green house on it. In Southeast Alaska it used to be a pretty common practice to put a small house on a raft and anchor it in a sheltered cove near wherever the work was(usually logging back then). When the work ended they would wait for a day when the
water was calm, hook a boat up to the raft and pull it to the next cove. The same thing could be done putting a green house on it, may be heated with a
rocket stove, or maybe even two rafts, with a home on one and a green house on the other. I'm not sure what the regs are for anchoring a raft in a cove around Halibut Cove, probably can't do it right where you are, but you might be able to do it within a couple of miles. I've played with that idea for myself, if we moved to Southeast AK. Unfortunately my wife is afraid of the ocean and my kids seem to be settling in the intermountain west or northwest US, so my raft dream is unlikely to happen.