The ground for the displays comes from and through pin 6 of J1 of the sound board. The circuit ground originates from J3-20 on the solenoid driver board. Both the sound board and displays share the same ground circuit. A weak connection at the solenoid driver board could be the problem.
Try running a jumper from a ground test point on one of the xpin displays directly to the solenoid driver board ground test point and see if that eliminates the buzz.