I'm guessing the trailing arm bushings are toast, and are allowing the suspension to relocate itself under load (bumps), which then allows the affected wheel and tire to rub on the inner fender area. I've had the same issue with my '91 DX, but only on *extreme* bumps - like almost going airborne kind of bumps! And my trailing arm bushings ARE worn, cracked, and torn. They'll be replaced soon...
Mike
Mike