What creates a freak or rogue wave
is a combination of factors including wind
duration, length of time of the wind
blowing, fetch, etc. It would seem to me that lake Michigan would have limited fetch (how far the wind blows, creating waves over a long distance). I did some google
searching and there is limited discourse on Lake Michigan and rogue waves but in my mind I compare it to the Straits of Georgia
along the BC coast.
I was going to post the paragraph from the net, but the last time I did that here, I was shat upon from on high by moderators here even though it was foot noted so here is the link:
Ocean Sciences|Research activities|Waves
In the the very far lattitudes South by the antartic have a very long fetch as there is no land blocking the ocean as it swirls around the south pole. So in these latitudes, incredible swells with nasty rogue waves as they have thousands of miles to develop.