Well, if your BEC is cutting out for whatever reason, it will affect steering and throttle. The ESC gets the throttle signal from the receiver and if the receiver loses power, then there goes the signal. Who knows, the BEC could have a bad solder joint, not rated for the current the servo and fan needs, etc. You can always try a receiver pack to verify that it's the BEC.
I plan on trying a reciver pack on my next outing When i had my BL mbx4 i used a reciver pack with no issues. I'm hoping the UBEC is the reaon for it cutting out.
Also i just reprogramed my speedo. I lowerd the timing from normal to LOW & start power to low.
What BEC are you using? Sometimes a properly sized capacitor can help a lot to even out the bec voltage, smooth out current pulses, and filters any noise from the bec output...