Seems reasonable to me that you could limit the travel from the transmitter and prevent this. I had the same problem with my CC 10 and resolved it, as you said, by reducing the prop from 12x6 to 11x7 and then to 11x4.7 and I also set the cutoff from a hard cutoff to soft cutoff. Meaning it reduced the power to about 1/4 throttle rather than shutting the motor off altogether. I did this because I had some very hard landings when the ESC cut out during low level hovers on me.

In the end I think you are pulling too many amps and you either have to limit high end throttle or reduce the prop to lower the amp draw.