"Starlink (in future), or one of the myriad satellite providers in the area (if you can put up with the latency)"
No on both options. Starlink's operators have explicitly stated that they will comply with local regulations (I.E. censorship). So does pretty much every satellite provider, because if they don't, their equipment for subscribers to use the system is illegal to sell in that country. If you do find an operator willing to violate that (spoiler alert, you can't), there's another solution which has been time-tested on satellite TV receivers. Ask Turkmenistan to recommend a good hammer for destroying dishes and they might even throw in the good hammer to use against the users of those dishes as well.