That is one solution, but I can't agree that it's easiest to accomplish, nor is preferable (at least according to my views). I'm guessing Greeks are all thinking that better governance is the solution (while at the same time avoiding taxes themselves nonetheless), and ones who aren't in that camp are thinking moving away from "money" (== "evil") is the key (while taking all chances to make money). Yet, this is the mentality which lead to the situation in the first place.
"Saving money" would have saved the day by the way. You can't keep your traditional tempo AND demand to live like Americans. Nor there is anything to be gained by living like them. You can in fact be happy, if not happier automatically, without spending like crazy.
Although I agree that it's not for Greeks, the unit value of BTC doesn't matter. Moving to a non-inflating-like-crazy currency that is freely exchangeable would be pretty useful in such cases. Privatize public services, and you will have all you need without pouring money into a black box.