The pilot stated that he departed on the 2.5-hour banner tow flight with 3 hours of fuel on board. After completing the banner tow, he began the return flight to the airport and noticed that the fuel level was "lower than expected." The pilot attempted to conserve fuel by "slowing down and bringing the mixture back." After dropping the banner at the destination airport, the pilot applied full power to conduct a go-around, and the engine "lost power." The pilot attempted to land in the grass past the end of the runway, but had "too much momentum." The airplane traveled down an embankment, contacted a ditch, nosed over, and came to rest inverted. The pilot reported there were no mechanical malfunctions or failures. The horizontal stabilizer and rudder sustained substantial damage. Postaccident inspection by a Federal Aviation Administration inspector revealed that the fuel tanks contained a "very little trace" of fuel.