Unfortunately, there is a discrepancy in the question as Rice Lake State Park is actually located in the state of Minnesota, not Missouri. Therefore, providing information for the correct location.

Rice Lake State Park is a 837-acre park located in Owatonna, Minnesota. It offers a variety of recreational activities throughout the year, including camping, hiking, fishing, and swimming.

Some specific points of interest to see at the park include Rice Lake, which is a shallow lake that covers 440 acres and is popular for fishing. The park also has several trails, including the 3.5-mile hiking trail that circles Rice Lake and the 1.5-mile paved trail that winds through the park's wooded areas.

Interesting facts about the area include that the park was established in 1963 and was named after Rice Lake, which was named after early settler George Rice. Additionally, the park has several historic structures, including the Rice Lake Bathhouse and the Rice Lake Dam.

The best time of year to visit Rice Lake State Park depends on the activities you are interested in. Summer is popular for swimming and camping, while fall offers beautiful foliage for hiking and biking. Winter brings opportunities for cross-country skiing and snowshoeing.

Overall, Rice Lake State Park is an excellent destination for outdoor enthusiasts and offers a variety of activities and points of interest to explore.