I lived in Whitehorse for a year back in 1991. I would check out Miles Canyon just outside of the city, it's absolutely beautiful with a cool suspension bridge you can walk across. The water is bright emerald green, amazing. Takhini Hotsprings is also pretty cool and just outside the city. I also just used to love going on a drive through the mountains to Scagway, Alaska for some fresh halibut and crab.