I was feeling bad for Kid 3 because she has been super excited about doing this.
Yesterday Denice let me know that she was able to track down a couple weanlings in Nevada that they will ship up to southeast Idaho, just for us and one other 4-H group that has another 12 year old who wants to participate. She apologized for the limited selection. Normally the BLM likes to provide several horses for the kids to choose from. In this case, I'm just happy that we'll be getting one!