Check the Events Calendar to see when these public observing sessions are being held. There will be a 20 minute presentation on what is currently well placed at that time, with a laser. Then everyone is invited to look through several telescopes for the next 2 hours. The events begin shortly after dark.
The closest street address is 9880 Stirrup Rd SE, Deming, NM 88030. The GPS coordinates: 107° 36' 58" W + 32° 11' 02" N
The event is in a circular viewing area adjacent to (west side of) the Visitors Center. The park charges $5 per vehicle. Bring a pen or pencil and $5.
These pictures show the location with a red arrow. You can also use Google Maps.