I find 300 to 400 miles a day not a problem on travel days, no matter where we go. Not sure where there is a Lake Louise 200 miles from Fairbanks Alaska though, if that is the Fairbanks you mean. If it is the one in Alaska, the answer is still yes. From south Florida I figure 10 driving days to Fairbanks Alaska, with 4 or 5 non travel days thrown in such as a muli day stop in Whitehorse, a couple of days at Liard River Hot Springs PP, etc.
So time wise I budget 2 to 3 weeks each direction for most trips. I have made it from Anchorage to Houston Texas in 6 days by car, but don't recommend that way to travel. LOL