For those in small vehicles, googling Springtime Canyon, Socorro County, NM and/or adding Truth or Consequences as a destination will show you the road.
I camped across from the dam.
In the morning I strolled over to admire the masonry work.
TheeeeeeeEEEEERRRRRREE's Eggbert! (slightly right of center near top of hill)
We trundled up the road a bit, but the rain drove us out. I explored a bit on the East side of I-25, but the rains had made the dirt roads impassable. Next time.
A well written trail guide to the Apache Kid Trail from Springtime Canyon to San Mateo Peak is on New Mexico Meanders blogpost of 2014-10-18.