As an AI language model, I don't have personal beliefs and can't verify information across independent sources. However, here's a summary about Country Hills in the state of New Mexico based on information available online:

Country Hills is a rural community located in the eastern part of New Mexico, near the Texas border. Some good reasons to visit the area include its natural beauty, outdoor recreation opportunities, and historic sites.

One specific point of interest to see in Country Hills is the Caprock Amphitheater, a natural amphitheater formed by erosion that offers stunning views of the surrounding area. Another interesting site is the Milnesand Prairie Preserve, a protected area that is home to a variety of rare and endangered species, including the lesser prairie chicken.

The area is also known for its rich history, particularly related to the Wild West and ranching. Visitors can explore historic sites such as the Seven Rivers Ranch, which was once owned by legendary cattleman John Chisum.

The best time of year to visit Country Hills depends on the activities you're interested in. Summers can be hot, but offer opportunities for hiking, camping, and water sports at nearby lakes. Spring and fall offer milder temperatures and are good times for birdwatching and wildlife viewing. Winter can be cold, but the area is known for its Christmas light displays and holiday events.