I would just make sure that all the hinge pins are straight, and make sure that the droop is set correctly.
When this occurs, are you using brake?
Because when I was at the Tamiya track not too long ago, I was setting my trim and had to go back and forth with my EVOIII. Then to stop, and turn I would use the brakes and the car would spin out to the left.(not touching the wheel)
Suposedly when the battery is on the left side, and the brakes are applied the "torque brake" makes the right side VERY light, and the right side tires loose traction. I solved it by just never using brakes(I didn't anyways).
I have also had very hot batteries and motors in my car, but I doubt that it warped my chassis. Although I have broken many cams on that car...