When loggers build a road into a forest, Best Management Practices or BMPs require them to build "water bars" to keep the water from eroding the road. These are basically small sections of the road that direct the water from the travelled surface to the side and downhill. You can probably get information on the web or from your state DNR or SWCD. Look under logging BMPs or maybe waterbars on the web.
My drive is on a hill, runs up and across the sidehill for part of it and straight up the slope for another part. The part on the sidehill is curved with the outside of the curve on the natural downhill side.
I had the guys who put it in bank the outside, downhill, side higher than the inside. They laid in very large broken rock and drove over that with the dozer. Then they laid in crusher run and ran over it with a rented vibrating roller. I had them put a top coat of dolomitic limestone on it. The thing is now going on 6 years old and has had very little erosion. When something starts, I grade it promptly with my backblade, putting larger stone where I want the water to flow, along the inside of the curve. In winter, I plow it regularly and maintain the grade while piling the plow wash up as ridges on either side. When we get ice, I use my toothbar to scrape down through it to the gravel and then spread that along the surface. The only who ever got stuck is my teenage stepson, whom I found sideways in the drive last winter. I got in his car and resolved the problem while giving him a lesson in snow driving.