LE has already stated they were not seeking volunteers to assist with the search.
Since the family is relatively new to the area, perhaps they are hoping to pay for friends and/or family from IN to travel to Colorado to assist (per GF).
Unless TN is aware that LE plans to suspend their search efforts, I wouldn't think they would attempt to coordinate their own search simultaneously with LE but I could be wrong. I'm also not sure if TN is local so they'd probably need to do a call-out for local volunteers familiar with area and terrain to help with the search.
Also - if the family will begin their own search efforts, I'd expect to find this info announced on the official SM Missing page.
MOO