I-10 Eastbound Rest AreaThe rest area is between Lordsburg and Deming and allows stays of up to 24 hours. There are several covered picnic tables which offer a private area to park. State: New Mexico City: Deming Nearest Town: Deming Status; Unofficial boondocking Cost: Free Nearest Road: Paved Scenery Rating: 2 Months Opened: All year Extras: None Number of Camp Sites: 10 or less Max Stay : 1 -