Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Chicago (96% of total searches to Lake Michigan). The next most popular destinations are Merrillville (2%) and Mackinaw City (2%). Searches for hotels in Highland Park (1%) are also popular.
KAYAK users have found double rooms in Lake Michigan for as cheap as $38 (Chicago) in the last 3 days. The average price is $468.