Good over nights on I10 from San Antonio to Phoenix

We are not FT, but were on that route recently. We stayed at truck stops, mostly Flying J or Pilot along with one TA. The only place that refused to allow us to stay was a Petro stop.

These meet your parameters of safe, secure, easy on/off with good swing room. They do not have hookups, but some have other things like propane or a dump station.