I'm Neal and I am here to assist you. Only accept when you are happy with my assistance. If I can't help I will open your Question to other experts.
It does sound like the transfer case is in nuetral, have you done anything with the transfer case?
I cannot imagine how it could break when on jack stands.
Here is a picture of the actuator, have someone else move the selector while you feel the actuator to see if it is working. Be careful under the truck and just do this with the key on not running.