Can I stabilize the tire tracks of a gravel driveway with hot tar?
The work to create the V-grooves that you propose seem like it could be labor intensive and still demand a lot of materials that make it expensive. And when it gets driven on in a way that the wheels of vehicles veer off the sides it will still tear up the remaining dirt and the edges of your special formation. 

The best wisdom of how to deal with the problem is going to come from experts that deal with this situation in your local area. They will understand the soil, terrain and local methods to build effective driveways. So I would really suggest asking around and get that expert advice.