I don't have a solution but I think you are going to have an ongoing battle. I have several forest trails that are dirt based. I would get erosion. I used my box blade to drag the dirt back up the hill and fill the ruts, packing it with several trips with my BX24. But the dirt in the ruts didn't "bond" with the other dirt and the ruts would be the first place to wash out again. After many years and numerous application of power line chipping I pretty much have it under control.
I think you may have problems with the fill washing out of your limestone ruts.
Doug in SW IA
I think you may have problems with the fill washing out of your limestone ruts.
Doug in SW IA