You can apply to do a Sub Internship with the Alaska Family Medicine Residency -
Medical Students . The residency program is based in Anchorage but I believe they often have Sub-Is out on rural rotations also. VillageSweetie is correct. They will generally always preference people who are from Alaska or at least lived there for some time. And with WWAMI (UWSOM) and PNWUCOM you are potentially competing with rotation spots of students who are far more likely to end up there. Also, I imagine its a bit late to apply if you are headed into your fourth year. But you can look at their resident profiles - it is not always the case that they are from Alaska or from WWAMI or PNWUCOM. People on this site often say that if you do terrible in school you'll end up in residency in Alaska. But there's only one and based on the resident profiles I'd say it's pretty competitive compared to many other community programs.
That said if you are interested in doing healthcare work in Alaska there are a lot of high-need areas and family medicine in the bush can be really cool (as I understand). You can look up the "big" hospitals Nome or Bethel and they usually have a decent amount of openings to hire physicians (usually FM or Peds, but other specialties too). By decent amount I mean one or two openings because they are small. But they have openings because retention can be a problem. If you go into EM then most likely you'd end up being in Anchorage, Fairbanks, or Juneau. Doesn't mean you can't go rural just less likely. Pretty much all the big/really bad emergencies in the state are flown to Anchorage.
BUT outside of Anchorage, its suburbs, Fairbanks, Juneau, maybe Soldotna, (and maybe the Kenai Peninsula on the highway - that whole area is highly trafficked at least in the summer), life in Alaska is pretty austere and there aren't a lot of doctors. Unless you live off a major highway in say Valdez, Delta Junction, Talkeetna, Glennallen, Tok, Homer or some such place. But even then it's still pretty remote and pretty austere compared to a lot of the rest of the US.
And a real rural Alaska rotation - for most - would not be an "Alaskan vacation" in the stereotypical sense. Even in the larger villages that actually have doctors and hospitals (Nome, Bethel, etc.). Most people either love or hate the villages, but I wouldn't classify doing medical work in them as a vacation.