You didn't say if spec/mod class. I just assumed mod class since you were worrying about power being dumped onto the ball diff.
I used to race mod buggy class when the B4 came out. I used a Castle Creations MambMax ESC 5700kV motor combo (I didn't know any better at the time) for a high traction indoor clay track. I was impressed with the throttle control for the combo being sensorless, but the power was literally a jaw dropping moment for me. I raced a whole season with a ball diff tranny, and my buggy survived. I should have went with the 4600kV motor for a more useful throttle range, but Castle insisted the the 5700kV was what I was looking for.
Anyways, a "4" series Associated ball diff is pretty darn tough in my book. For high traction carpet, yeah, I'd probably go with a gear diff setup (10k diff fluid for starting point?) if really really getting into it deep (racing), but a good, almost completely tightened, ball diff should get you up and running on your carpet munchin'

adventures.
I will also note that the "4" series gear diff can be destroyed on short notice as well. I was testing a 550/3660 size motor, that I pulled out of my Axial Yeti, on my gear diff (brand spanking new) equipped T4 with Step Pin tires; 2S LiPo pack; running on blacktop... a couple of WOT finger squeezes, and full on braking did mess up the planet gears inside


. Were the planet gears made with a bad batch of steel? Did I have my slipper locked down? I don't know, but I do know I was never going to do that again, or even think about using a 3S pack on high traction surface.