RV sites for 3 brits nr Durango and Mesa Verde

Hello forum, We are excited brits on a road trip. Renting a small 24' RV from Denver on 4/30 and then driving towards the Four Corners. Any recommendations re good sites to stay near Mesa Verde - we quite like quieter places/nature/forested if possible?. Also any other recommendations. We travel from Durango area onwards to eventually drop-off the RV at Las Vegas to fly home mid May.

Thanks in advance, Tanzey King