This is what I found for Sublette County Search and Rescue:
Search & Rescue | Sublette County - Official Website
They have a volunteer group (Tip Top Search and Rescue) of about 40 people. No word on how long they will search. They were involved with the Aubree search before it was suspended. Their Facebook page has the grid search that was done for Aubree and the Sheriff's announcement suspending the search as well as the request for no volunteer searches, even though they were suspending the search for her.
Sheriff references the team and efforts here on July 17:
"During the search operations, Tip Top Search and Rescue members as well as the contract helicopter were deployed to the Union Pass area in an extensive search for Miss Corona. Fremont County Search and Rescue deployed a similar response on their side of the pass in a coordinated search effort. An extensive grid search of the entire area between Green River Lakes and Dubois Wyoming were conducted over the last two days. As of Tuesday evening, the search of the entire area resulted in no signs of Miss Corona or the vehicle she was reported to be in."
Tip Top Search and Rescue
I don't know where she was found in relation to the grid search map photo.