San Antonio Hot Springs. Several miles north of jemez springs.
Here's a link to a site with good instructions about getting there.
IMO a 4wd vehicle is a must. I've been there several times. I went there in my Escape; you remember that car. The road is quite rough, with some sections having bare rocks sticking out of the ground.
The road ends at a small parking area. The final 300 feet or so (from the road to the parking area) is quite steep; I was glad to have 4x4 just getting out of there, but some people make it with 2wd vehicles.
The hike into the springs from the parking lot isn't hard, but the last 100 feet or so is steep and rocky. Clothing is optional, however, there are reports of rangers giving citations for indecent exposure.
eta You can drive or hike the 5 1/2 miles into the area. You must then drive or hike out. Hiking (at least at my age) is problematical; my knees, hips and ankles are no longer up to it. I always drove in.
If hiking is your thing, there is at least one trail into the area, probably more.
Also, it's been 4+ years since I went there. The road may be in better or worse condition than when I went there.
IMO this is the most beautiful hot spring location in Nuevo Mehico. Enjoy!