Living in Grand Marais, I often drive by the park on the way to Duluth and often stop and take some pictures. By avoid, I guess, you mean when are the busiest times for the park. That would be during the summer and fall, but if you are willing to hike, you will find that the further you get from the road, the less people you will run into. If you are looking for winter photos, I would recommend coming up now, because we have a lot of snow, and are in a cold snap right now, so in the morning the lake is steaming. I like the end of June and first part of July for flowers, and fall is fantastic, especially near Tofte.