Property Drawers and Inheritance

Hello, I am trying to create a very basic engine with a custom editor/property drawers and I seem to be messing it up royally. I am semi-familiar with property drawers and editors, as well as how they work together but this really has me stumped.

I have three classes, an Engine (with an array of waypoints), A Waypoint (with an enum to store the waypoint type), and a MoveWaypoint (an example waypoint type with custom data - extends Waypoint).

The engine has a custom inspector that just displays the array of waypoints (for now!) and is working as intended. The Waypoint has a property drawer that displays the enum for the user to choose. What I am trying to do is if the user sets the Waypoint to Move, to show the MoveWaypoint propertydrawer. I have tried a few different ways of doing this (after crawling through lots and lots of forums) but all the information is either out of date or I can't get it to work.

Currently the three scripts are just test beds for the engine, so it may seem silly to go through a lot of effort for just these three scripts. However, I am eventually going to have over two dozen scripts each with their own sets of variables and manipulations so I want to get this figured out (assuming it is possible) before I dive too deep down the rabbit hole!

I appreciate any and all help, all scripts are provided below.

LevelEngine:

 using UnityEngine;
 using System.Collections;
 
 public class LevelEngine: MonoBehaviour {
 
     public WaypointScript[] waypoints;
 }

WaypointScript:

 public enum MovementTypes
 {
     WAIT,
     MOVE
 };
 
 [System.Serializable]
 public class WaypointScript{
 
     public MovementTypes moveType;
 }

and MoveWaypointScript:

 using UnityEngine;
 
 [System.Serializable]
 public class MoveWaypointScript: WaypointScript{
 
     public Vector3 target;
     public float moveTime;
 }

Each has their own custom inspector/editor declared

EngineEditor (Works fine?):

 using UnityEditor;
 
 [CustomEditor(typeof(LevelEngine))]
 public class EngineEditor :  Editor
 { 
 
     public override void OnInspectorGUI()
     {
         serializedObject.Update ();
         SerializedProperty waypointsArray = serializedObject.FindProperty ("waypoints");
         EditorGUILayout.PropertyField(waypointsArray);
         EditorGUILayout.PropertyField(waypointsArray.FindPropertyRelative("Array.size"));
 
         for (int i = 0; i < waypointsArray.arraySize; i++)
         {
             EditorGUILayout.PropertyField(waypointsArray.GetArrayElementAtIndex(i));
         }
 
         serializedObject.ApplyModifiedProperties();
     }
 }
 

WaypointEditorDrawer - Works Fine, but there is where the real problem arises -

 using UnityEngine;
 using System.Collections;
 using UnityEditor;
 
 [CustomPropertyDrawer(typeof(ScriptWaypoint), false)]
 public class WaypointEditorDrawer : PropertyDrawer 
 {
     ScriptWaypoint waypointScript;
     float extraHeight = 17f;
     
     public override void OnGUI(Rect position, SerializedProperty property, GUIContent label)
     {
         EditorGUI.BeginProperty(position, label, property);
         SerializedProperty movementTypes = property.FindPropertyRelative("moveType");
 
         EditorGUILayout.PropertyField(movementTypes);
 
     EditorGUI.EndProperty();
     }
 
     public override float GetPropertyHeight(SerializedProperty property, GUIContent label)
     {
         return base.GetPropertyHeight(property, label) + (extraHeight );
     }
 
 
 }

And finally MovementEditorDrawer:

 using UnityEngine;
 using System.Collections;
 using UnityEditor;
 
 [CustomPropertyDrawer(typeof(ScriptMove))]
 public class MovementEditorDrawer :  PropertyDrawer {
 
     ScriptMove moveScript;
     float extraHeight = 55f;
 
     public override void OnGUI(Rect position, SerializedProperty property, GUIContent label)
     {
 
         EditorGUI.BeginProperty(position, label, property);
         SerializedProperty moveTime = property.FindPropertyRelative("moveTime");
         EditorGUI.PropertyField(position, moveTime);
         EditorGUI.EndProperty();
     }
 }