Nine different women scored goals for the Hornets (5-5, 2-1 ODAC) in the blowout victory over SBC (0-7, 0-2).
Shenandoah did not allow a shot or a penalty corner on the day while taking 39 shots of its own.
The Hornets also had 17 penalty corners on the day.
The 12 goals scored is the second most in program history, trailing only the 13 goals scored versus the College of Notre Dame on September 12, 2012.
SU then scored goals in the 7th, 14th, 16th, 17th, 18th, 20th and 33rd minutes to take a commanding 8-0 lead into the halftime break.
In the second, Shenandoah scored in the 38th, 39th, 60th and 64th minutes to provide the final margin of victory.
SU steps out-of-conference on Tuesday at 7 p.m. to host Ferrum.