The NT1 is a competition car created and developed on foam tyres.
I think that the use of rubber tires (and also not for competion, like the vintage ones of the HPI) is a wrong choise...maybe it's a good idea when the car stays at home, but not for the track.
But this is only my thinking..
A good change you can do to avoid the loss of traction in corner exit is to increase the front downstop value. This can raise the stability of your car very very much.
If you're on the standard 1mm setting try to raise it to 3mm
Also lower the position of the rear shocks. Have them at the most vertical point means that you have the lowest possible grip in corner exit (expecially when you are turning and accelerating at the same time).