There is limited information available about "Gregory Park" in the state of Arkansas. It is possible that the name refers to a smaller community park or private property, rather than a large public destination. Without further details, it is difficult to provide a comprehensive summary of the location. However, here are some general points about Arkansas as a state that may be of interest to visitors:

- Arkansas is known for its natural beauty, including numerous state parks, hot springs, and rivers. The Ozark and Ouachita Mountains provide opportunities for hiking, camping, and scenic drives.

- The state also has a rich cultural history, with a blend of Native American, European, and African-American influences. Visitors can explore sites related to the Civil War, the Trail of Tears, and the state's musical heritage.

- Popular attractions in Arkansas include Crystal Bridges Museum of American Art, Hot Springs National Park, the Buffalo National River, and the Clinton Presidential Library.

- The best time to visit Arkansas depends on personal preferences and the specific activities planned. Spring and fall are generally pleasant and offer mild temperatures, colorful foliage, and fewer crowds. Summer can be hot and humid, but is a good time for water-based activities. Winter can be cold and icy, but also offers opportunities for skiing and other winter sports.

Overall, Arkansas offers a variety of natural and cultural attractions that can appeal to a wide range of visitors.