For many installations, AFN is direct-to-home via satellite. Some bases/posts may have an analog cable system (still), but some of these base-wide systems were switching over to digital. Very few locations still have OTA transmitters on TV frequencies any more. Check with your post’s AFN office.
I remember that Tivo (yes, TIVO) made all kinds of special accommodations for the men and women serving overseas, with special zipcodes based on which satellite you were looking at, and an IR-blaster, so the unit could change the channel. It was limited to one recording at a time.
If your installation is using Over-The-Air broadcasting for AFN, and your TV was designed for the US market, Tablo would possibly work. (You may need to get at power adapter for the country you’re posted in, if your quarters are not wired for 120v.)
Getting the guide though could be a challenge, as it would require AFN to cooperate with Gracenote to get the AFN program schedule and synopsis info, and then Gracenote to set up a special zipcode for each timezone, that would accommodate the locations where US service people are posted. You may have to use Manual Recordings (on Tablo) to record.
Another solution, which we used while posted in both Korea and Seoul, was to set up the Tablo in the US at a relative’s or friend’s home. They would need to have a solid, high speed internet connection. You could then pair a Google Chromestick or Amazon Firestick, or even a cell phone with the Tablo at the location where your Tablo is connected to the antenna. During setup, they/you would need to have “Remote Access” enabled on the Tablo. After everything (including remote access) is working, they could send you the streaming device, and you could use it in your quarters. . (The key is the streaming device you want to use must have seen the Tablo on its local network first.) Roku devices would not work, because of the way the login authentication is done.
You could also investigate the use of a Virtual Private Network (VPN), if your installation authorities and foreign internet service provider allow their use. Many here have used VPNs with the Tablo with mixed results.
Hope this info helps – and THANK YOU FOR YOUR CONTINUED SERVICE!