Apparently you are unaware of the tools to build offline transactions. Or of the ability to store bitcoins in your head (brain wallet).
Want to send bitcoins to someone without Internet? Just communicate to him/her the brain wallet passphrase (http://brainwallet.org). Or sign an offline transaction on your computer, and send him the raw TX (~300 bytes) printed on paper.
That's the beauty of Bitcoin! The sender still has options to transmit bitcoins despite being offline. Sure these mechanisms are clunky; communicating a brain wallet passphrase gives access to the whole amount associated to the private key, but I imagine in such dire situations (civil war, no internet) you are more concerned with abilities to for example send money to your son in another country, and you would trust him with the brain wallet. Also, nothing prevents you from splitting different amounts of bitcoins in different brain wallets (eg. 3 wallets containing 10, 50, and 250 BTC).
Also, a country under civil war typically destroys the value of their government currency via huge inflation. This is actually a perfect example to demonstrate why Bitcoin is superior to inflated fiat money!