I am having the same problem (Bluebird Servo) I contacted Castle about it and, they cant do anything but ask you to buy some more of there BEC products... The Monster BEC is not up to the Task of Higher power servos. Which is kinda Lame considering that the ESC can take a hell of a lot of motor, but not servo...
I fixed the issue with a 16v 1000m Capacitor bought at Frys electronics for $1.99, solder it to an old servo lead and plug it into the Battery Slot on the Receiver. This will keep the Receiver from Blacking out...
Although I think a 10v 1600m would be better, but 16v was the lowest voltage they had.