hey i grew up in southeast AK. i would DEFINITELY recommend taking the ferry from Bellingham to Ketchikan to begin with. yeah, it's a little more expensive than flying but it's a fucking beautiful 2.5 day ride up the inside passage and a good introduction to the state. you can camp on the back deck under the heat lamps or find a spot inside to sleep. don't need to buy a cabin. BYOB and pot up with you.
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some places I'd recommend...
-Ketchikan - "Salmon Capitol of the World". A lot of the downtown area is boardwalk built above the water on pilings. creek street used to be the red light district...you can still take a tour of Dolly's House (the old whorehouse that serviced all the fisherman, loggers, etc). they closed the business down in the 50's but left a lot of the artifacts as they were, including old silk condoms about the place. the iconic tunnel downtown used to be the only tunnel in the world you could go through, around, over, or under. lots of bars if that's your thing and a decent music/arts community for the population of the town. tons of fucking tourists in the summer. good bus system to get around. averages 13 ft of rain a year!!! If you have extra $$ to blow, I recommend taking the Misty Fjords boat/plane tour.
-Sitka- Also a good bus system to get around. Russians settled there back in the day so there's some cool architectural cathedrals and shit downtown. Everywhere in southeast AK is beautiful, but Sitka is up there. A few fun bars. There's a bear sanctuary out by the end of one of the bus routes I'd recommend checking out....(if you visit in the summer months, stash your pack in the woods before going in and tell them you work at the cannery nearby and you'll get in free). while you're out there, hitch a ride to Bear Lake trailhead I think it is....there's a beautiful waterfall along the hike that's like several hundred feet high.
-Juneau - the capitol of AK and the biggest town/city in southeast. definitely hit up the mendenhall glacier while there. i've only spent a few days there way back when so i don't have much info on this town.
there's plenty of other little villages & towns to explore, but those are the major hubs in southeast.
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-Anchorage- aka skankorage...the armpit of Alaska. spend 2 or 3 days there to say you've been and hit up some music venues while there. like someone else said, be real careful there at night. avoid the said areas, and be careful which homeless/natives you choose to hang out and get drunk with. there can be good busking opportunities near the plaza in the summer. when you've had your fill of the city, head out to Girdwood to recuperate.
-Girdwood - Beautiful drive from Anchorage. Home to the Girdwood Forest Fair music festival where there'll be some magic to be found

Alyeska ski resort is also there.
- Then continue on to Kenai, Homer, Seward on the beautiful fucking Kenai peninsula!!! Definitely another must see area. While you're in Homer, don't forget to head to the spit and whet yer whistle at the Salty Dawg saloon.
- As you make your way back north up the interior it will be easy peasy hitchhiking if that's your mode of transportation. If you pick ONE music fest to hit up while you're in AK in the summer....WITHOUT A DOUBT... Trapper Creek Bluegrass fest on Boot's property in Trapper Creek is an Alaskan rite of passage. he used to put on 2 different ones so make sure you go to the more adult friendly one lol
https://www.facebook.com/bootsbisonranch/ you can thank me later

it's where I first saw Blackbird Raum play.
- Fairbanks is a college town. (Free showers at the university). College Coffeehouse (good place for day olds, free bagels, etc) by the university or The Marlin bar is good place to meet kids and find potential cabins where you could crash while you stay. Fairbanks is The Dumpster Diving capital of the world with numerous transfer stations strewn about the city free for the pickings...although currently under threat from yuppie bureaucrats.
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Anyways, I've rambled on enough. When you head up there lemme know and I can shoot you some names of people that might have a couch to crash on or at the very least can show you around, but you won't have problems making lots of new friends there. It's a fun state to backpack around.
Oh yeah.....and pick up a copy of The Milepost for your research on places to explore in AK.