Gravity...without...Gravity?

So I'm attempting to make my character model as realistic as possible when it comes to how it interacts with the terrain. I've achieved making the model tilt in correspondence with the slope of the terrain using this bit of code...

Code (CSharp):

1. RaycastHit hit;
2.             Ray ray = new Ray(my_transform.position, Vector3.down);
3.             if (terrain.Raycast(ray, out hit, 1000.0f))
4.             {
5.                 my_transform.rotation = Quaternion.FromToRotation(my_transform.up, hit.normal) * my_transform.rotation;
6.             }

However, this causes the model to slide backwards along the slope. I don't want it to be Kinematic though, but I DO want it to be affected by Gravity. ...but I don't want the model to slide down the slope. Any thoughts?

 

BUMP

 

Just a wild guess, but would a physics material with a high friction help?

 

I would use a raycast to determine if the feet are on the ground by having a distance suitable for determining this. If the character in on the ground, then change the velocity on the LateUpdate method to restrict movement by dampening or setting values to zero immediately or when velocity gets under a certain value.