Wall Running on Curved Surfaces

Hello! I am currently trying to implement a wall running mechanic in an FPS game. I currently have it working with smooth surfaces/walls but I am having a hard time making it work for curved surfaces. Here is the code I have so far.

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 using UnityStandardAssets.Characters.FirstPerson;
 
 public class WallRun : MonoBehaviour {
 
     private bool isWallR = false;
     private bool isWallL = false;
     private RaycastHit hitR;
     private RaycastHit hitL;
     private int jumpCount = 0;
     private RigidbodyFirstPersonController cc;
     private Rigidbody rb;
 
     
     void Start () {
         cc = GetComponent<RigidbodyFirstPersonController>();
         rb = GetComponent<Rigidbody>();
     }
     
     void Update () {
         if(cc.Grounded)
         {
             jumpCount = 0;
         }
 
         if (Physics.Raycast(transform.position, transform.right, out hitR, 1))
         {
             if (hitR.transform.tag == "Wall")
             {
                 isWallR = true;
                 isWallL = false;
                 jumpCount += 1;
                 rb.useGravity = false;
                 StartCoroutine(afterRun());
             }
         }
        
         if (Physics.Raycast(transform.position, -transform.right, out hitL, 1))
         {
             if (hitL.transform.tag == "Wall")
             {
                 isWallL = true;
                 isWallR = false;
                 jumpCount += 1;
                 rb.useGravity = false;
                 StartCoroutine(afterRun());
             }
         }
     }
 
     IEnumerator afterRun ()
     {
         yield return new WaitForSeconds(1.0f);
         isWallL = false;
         isWallR = false;
         rb.useGravity = true;
     }
 }
 

Like I said, this works for smooth, flat walls but I need help with the player following curved walls too. Thanks!