The AA Trail is open.
http://www.fortbraggmwr.com/AATrail/AATrailMain1.htm
The map shows Mott Lake as that inty bity blue spot in the upper right.
All kidding aside the Ft Bragg/Fayetteville area does have some good trails to ruck on.
The River Trail off Ramsey Street is nice 0700 to 0900.
For a Saturday take a drive up to Uwharrie and hike/ruck sections of the Uwharrie Recreation trail - 25 miles IIRC or do the Dutchman's Creek Trail - 12 miles IIRC.