I know little about electicity, but I would put the wire down at least 3', perhaps 4' and into pvc pipe. A simple ditchwitch should do the trick for the ditch, unless you hve a great number of boulders or tree roots in the way. You must know someone who is an electrician in your area that might give you some hints on what would be the best way to proceed. I would think that 3 0 wire would work for that distance.
Oh, you are in a pretty good county as well, me too. Polk County here.