The GPS coordinates were bogus! That's the conclusion we arrived at after marching up and down the hillside for a few hours. Yesterday was consumed with another attempt at finding the missing hot springs. This time we had a GPS and mountain bikes to facilitate easier access. Though the trail was a little rough for the mountain bikes, especially coming back in light of a full moon. We have alot more information now, inculding alias names of the missing hot springs, so perhaps our next encounter will be more relaxing.
A GPS map of our trek around the mountainside.
This website shows the springs are mysteriously located deep inside the country of China.