Sun drying if of course traditonal, and while I've never dried figs before, I have tried it with apricots, tomatoes, and peaches with varying degrees of success. The problems I encountered were insects (flies, etc), and humidity at night. Sun drying can be successful if you live where it's warm and sunny all the time, and have dry breezes at night. But that's not here... We are too close to the coast and can have a thick marine layer sometimes during the day, and nights of high humidity.
You can bring things in at night, but if you have a lot, that gets to be a pain. Unless it's consistently warm and dry enough, your drying fruit can be prone to rotting. Eventually I found a good dehydrator at a yard sale, and about a year ago, purchased an Excalibur. With a dehydrator, you get a more uniform, better color, higher quality item. And it's so much easier and faster.
I've read that one can build a solar dehydrator, so that might be an option. I suspect you could find plans on the internet. :)
Perhaps something to try might be to slice figs about 1/4 inche, put them in a warm spot, perhaps a sunny window, and a small fan circulating the air. Fans don't use much power.
Before getting a dehydrator, I did dry some things in the oven, not using oven heat, but with a fan and a lightbulb. If you do that, you must remember to tape something over the controls so no one turns on the oven. This oven method works pretty well. Leave the door open a crack so humidity can escape.