Where to go for on-field camping near Texas?

I am thinking of renting a 172 and going for overnight camping within 4
hours flying distance of North Dallas.

I am an AOPA member and I did a search for the fields that allow
camping but without descriptions, it is hard to decide.

It would be nice to hear from others who have done this.

All we are looking for is a field that allows camping ( 4 hours from
KADS) and it should have interesting surrounding.

One thought is to go fly to SE New Mexico and see some mesas. Does
anyone have any comments on New Mexico?

Thanks in advance.

SP