Get Player to 'Stick' to Surface

Hi, all!

So I have these rolling hills and a player. My goal here is to get the player character to:

• Align with the surface normal

• Move smoothly along the surface normal in either direction

That's it for the time being. My current script works, but sometimes the character will miss a face of the hill mesh and walk right through it, and other times the player won't go all the way down to where the surface actually is, giving a floating effect.

Any suggestions? Have any of you tried this before?

Here is my current script:

 public class Locomotion : MonoBehaviour {
     public float moveSpeed;
     public Transform myCharacter;
     private RaycastHit myData;
 
     // Use this for initialization
     void Start () {
     
     }
     
     // Update is called once per frame
     void Update () {
         if( Mathf.Abs ( Input.GetAxis( "Horizontal" ) ) > 0.01){
             //If moving
         float move = Input.GetAxisRaw( "Horizontal" )*moveSpeed*Time.deltaTime;
             //Get a speed and direction
             Vector3 startRay = new Vector3( transform.position.x + 0.1f, transform.position.y + 1.0f, transform.position.z );
             //Get a ray
             Debug.DrawRay( startRay, -transform.up*2.0f );
             //Draw it
             if( Physics.Raycast( startRay, -transform.up*2.0f, out myData )){
                 //If there is a hit
                 myCharacter.transform.rotation = Quaternion.FromToRotation ( Vector3.up, myData.normal );
                 //Align player to surface normal
                 //float newSpeed = 0.01f + Vector3.Angle ( Vector3.up, myData.normal)*move;
                 //Debug.Log ( Vector3.Angle ( Vector3.up, myData.normal));
                 transform.Translate( move, 0, 0, Space.World );
                 //Move player
                 Vector3 newPos = new Vector3( transform.position.x, myData.point.y-0.1f, transform.position.z);
                 //Stick to face on y axis
                 transform.position = newPos;
             }
         }
     
     }
 }