Error in Raycast Detect Ground for Falling Animation

Ive been working on a controller for my game for a couple days now and its been going very smoothly however I ran into this small bug where the fall animation would play when a Ray Cast is determind but the character's Capsule Collider (radius of 0.3) still collides with the wall edge and therefore the model stays on the edge but plays this falling animation.

I have the image here to best explain what goings on: http://gyazo.com/e34f79cfe762f930921ee22f3182cb2e

I know the issue here is that I only have one ray cast that is very slim and since the radius of the character is 0.3 theres a small slight error in which the raycast would not hit the ground thus thinking it should play the animation but the collider still does.

Heres the code:

  //grounding checks
 bool grounded = true;
 public bool Grounded { get { return grounded; } }
 private RaycastHit groundHit;
 public float groundedDistance = 1.5f; // from capsule center
 public LayerMask groundLayers = -1;
 private float groundheight = 0.0f;

void Update () {

     //check if grounded
     grounded = Physics.Raycast (unit.position + unit.up * capcolllider.center.y, unit.up * -1, out groundHit, groundedDistance, groundLayers);
     anim.SetBool ("grounded", grounded);

Here is the setup: http://gyazo.com/3d35abc0038370a5e1012d996d06f113

Also I have 3 fall Landing animations that I would like to play when the character hits the ground at particular heights. As of right now I just have one playing but I would like to play the others depending on the height of the fall. If the fall is 0-3 unit meters then play LandA, if 3-10m then play LandB and then greater than that then LandC (which is basically a death falling animation).

I know to achieve this I just need to measure the distance of the Raycast itself but Im not quite sure how, still a little new to raycast functions