It just doesn't sit right with me that there was such intense concern over the (minor and short-lived) fork on Monday. Especially if governments could effectively force a network fork within their region.
What you are predicting is like the desert island scenario. The answer to that was:
But overall, bitcoin is an online digital currency and doesn't work for desert islands without at least sporadic (e.g., hourly) occurrances of connectivity.
All this "desert island" would need is a single node with outside connectivity. The bandwidth requirements are as small as what a dial-up modem provides, with intermittent / period connectivity during each day. Then that node would then communicate with the local peers on the island. New blocks would arrive to this node and new transactions would be broadcast out from it.
Of course, the requirement for there to be block confirmations before payments are recognized would be a necessary variation (e.g., no 0/unconfirmed for the anonymous tourists to the desert island).