The Leelanau Enterprise has a feature on Leelanau County in the 1930s that says that despite the dramatic collapse of the market in 1929:
…perhaps things weren’t all that different in Leelanau County, which had been in a bit of its own depression even before 1929. In a region where lumbering activity had once played such a large role, the population had been declining since peaking out (at 10,608) in the 1910 census. The tourism business was good, but this was seasonal, with most of the valued “resorters” returning to their respective homes at summer’s end.
The photo is Leelanau Leland Old Breakwall Winter Ice by UpNorth Memories – Don Harrison. I’m not sure it is from the 30s, but it’s cool and if you follow that link, you can download the image for your desktop wallpaper and see lots more cool old photos from Leelanau and elsewhere in Northern Michigan.