Alaska is a place where people go to die. Not necessarily to blow their brains out, but to run out the clock in peace and privacy. People come and go and the norm is to not pry or get too close. He would have been just another guy looking to move off the grid and wouldn't have attracted any attention in a place where none is given.
Also, Jimmy was able to set up a new life, baking cinnamon rolls, living in an apartment in town, and seeking quality medical care when needed. I think the problem was exclusive to Walt, and since Walt was down to his final months anyway, it made sense to keep him holed up. Walt was a legend. It wasn't just that the law was looking for him, but everybody in America knew who he was. Jesse is the Green River Killer. Walt is Ted Bundy.