How much of a shell is the log cabin? Are the walls & roof complete? If not, what would it take to get those complete? How large is it? (There is a great variation in what people mean when they say cabin. Some people use log cabin to mean the structures pioneers built -- a hundred or two hundred square feet. I've seen other people say log cabin when they mean a 1500-2000 square foot log house.) If it's a small cabin, get it into shape to live in it and install a heater. If it's small this shouldn't be too difficult or expensive, especially if you do it without electric / plumbing. If it's larger and roofed, get a section of it weather tight and finish off a couple of rooms to live in. Install a small heater for that area.
In this situation, I wouldn't go whole hog on solar panels, etc. They are atrociously expensive. However, I probably would look for enough of a solar setup to charge my cell phone & other small electronics. You could probably charge a laptop this way, too. Buy a small generator for the time being for other things that you may wish power for from time to time. In the long run, you'll want a different source of power, but this should work for a while.
Consider it a sort of long term camping and set things up to make this simple. You can do a lot of cooking on a couple of propane burners. You can do without electricity for a long time. Use nature's refrigerator in the winter, and alter your cooking / eating habits in warmer weather until you bring in electricity (if you choose to do so...)
If you have kids, rethink the whole option. Someone will probably end up deciding that though half (totally made up statistic) the world's people don't have electricity, children cannot survive and lead a normal, healthy life without it...