One thing you won't find in town, no matter how hard you look, is room where you can wander around without thinking of where you're going. A local park is a substitute, but it's only a substitute.
If your soul longs for a solitary walk, like so many people with country in their hearts, go to the park during a time when it's the least busy. Usually weekday mornings, when the kids are in school and Mom and Dad are at work, is the quietest time.
If you can swing it, it will almost feel like walking in the country.