What level / ethnic group do you intend to teach, and for how long?
Most privates will take care of your immigration / green card (and tax) requirements.
https://www.teachingnomad.com/jobs/d...0%2B%20housing.
If you really want to teach, and like to travel...
https://www.dodea.edu/offices/human-...ces/work-dodea
Several teachers and administrators really loved their time at DODEA.
Another who did the 'nomad-teacher' thing in SE Asia (4 countries), came back to Johns Hopkins for an upper level international Business Law Degree, and has held excellent career positions writing trade treaties and living internationally for 30+ yrs.