Crossfit boxes are basically the weightlifting version of a Spin or Yoga studio. You can't get around the class experience because the classes and instruction are the experience, and why a membership at one is often double or more what one at a traditional gym might cost.

I think you just might need to expand your aperture on gyms, because I find it hard to believe you live in an area with a glut of crossfit gyms but not a single standard globo-gym option within a reasonable distance. Or if your home and budget can support it, come join the /r/homegym master race; I'm happy to provide equipment suggestions. You can build something very decent for around $1500.