AF clinical nurses generally do not go to true FOBs in austere environments. The most 'austere' you'll get in that role is Bagram in Afghanistan...a dangerous but somewhat secure deployment location with a lot of amenities and resources. Common other deployments for AF clinical nurses are Al Udeid, Qatar, Al Jaber, Kuwait, and Camp Lemonnier, Djibouti. They are so safe, you don't even get IDF/HFP at most of them (besides Bagram).
AF ICU and ER nurses especially can and do go to true FOBs in the middle of nowhere. ICU/ER nurses can operate as a member of air evac teams (CCATT, TCCET), ground surgical teams (GST), and special operations surgical teams (SOST).
There are hospitals overseas (OCONUS) in Europe and Asia...generally very small, but those are treated as full PCSs. Your family can typically come with you (except for Turkey and Korea).
-deployed recently as an AF ICU nurse