Yes, we used to go to the Butte a lot when we had a boat.
Around the T or C area, there are three state parks, Elephant Butte SP
and Caballo SP
with Caballo being closest to the interstate as well as Percha Dam State Park
a nice place on Rio Grande, near Caballo Lake. Elephant Butte Lake State Park headquarters are 5 miles north of Truth or Consequences via I-25 exit 83. Caballo Lake State Park is 16 miles south of Truth or Consequences via I-25 exit 59 and NM 187. Percha Dam State Park is 21 miles south of Truth or Consequences via I-25, exit 59.