If you stop at Nugget City, then there are two places I can recommend for the next night.
A short day will be 275 miles to Takahini Hot Springs on the Klondike Highway, ten or so miles north of the ALCAN. Camping is good and the hot springs are great.
A better option is to go to Haines Junction, 360 miles. Turn off the ALCAN at the Raven Motel on your right as you enter town. A block down on the left is a bakery with great pastries, sandwiches and coffee. Behind the bakery is the Paddle Wheel. They rent canoes and other equipment, but also have two cabins that they rent for $90 (2 years ago). They have cable TV, running water, wood stove heat and share a bath/toilet facility.
And, there is a Provincial liquor store on the left just past where the ALCAN turns to the right