Vacation rentals in Menonaqua Beach

I can’t find a Michigan city named “Menonaqua Beach.” It may be a misspelling or a fictional name. Could you please confirm the correct city (or provide a nearby town such as Monona, MI; Menominee, MI; or another Michigan lake town)? Once confirmed, I’ll draft a precise 2–3 sentence blurb based on verified, general local info. If you’d prefer, I can also create a neutral, generic lakeside-Michigan blurb that doesn’t rely on specific city facts until you provide the name.