Calling out the troops is "a process". First, is there any members whom are ArNG (Army National Guard) members also. They can provide chain of command contacts. Second, local political support (state level) representatives and senators. Third, any contacts or associations through either the Governor's office or the Adjutant General's office (head of the Guard).
Since this definitely qualifies as a "training project" for Army combat and construction engineers, Air National Guard (civil engineer squadrons), and Seabees you've got a choice of groups OR a rotational project where many units can train on a project.

Get the local support, get the Adjutant General interested, file a request with the A.G. and Gov. then let the pol's help push. Providing items such as fuel, food, and ancillary items will help show our commitment and also creates good will with the troops.
I've done many of these over the years in my military career, most were really fun and the troops love them because they help their local community.