Cuddling in Minneapolis? Looking for a public place?
The Eloise Butler Wildflower Garden and Bird Sanctuary is an open nature preserve of 15 acres. It has a path (paths) that can be walked in a couple hours. If you are a nurture freak, it's extremely peaceful and has a boggish, lazy walk, where I felt insulated from noise, stress, and concern. If you are a nature freak, it has a couple micro-climates, hundreds and hundreds of species of plant and tree, wildlife, and insect life. Where would you take someone for a public cuddle near you?

https://www.minneapolisparks.org/parks__destinations/parks__lakes/gardens__bird_sanctuaries/eloise_butler_wildflower_garden_and_bird_sanctuary.
(Note: Parking is not free.)