At my club we do run a spec class using Trinity Steet Spec cars and yes they do handle like a brick $$$$house!
The key word is drive smoooooooth. The first few races with mine I rolled it at about the end of the straight ever other lap. Since then I have not had a problem. A few things have helped, but driving it smoother was the biggest.
A few setup tips:
1) Crank down the tweak screws. I run my rear pod pretty stiff. This will keep from lifting the inside front tire and let you drive smoother. It's not necessarily the fastest setup but the most consistent. Sacrifice a 1/10 or two a lap to avoid 4-5 seconds from crashing.
2) I run about 1-2 degrees of toe-out. Too little and it wanders a lot and you have to crank the wheel to hard to get it to turn, again causing rolling.
3) Grease the damper plates. I'm one of two guys who does it and we are the only two who never roll anymore. I use torsion diff grease from 1/8 scale buggies. It's very sticky and keeps the car from chattering through the corners. Again, prevents rolling.
Hope this helps. PM me if you need anything else with Spec!
Edit: One more thing, none of us true the tires. Run the rear pod spacers up and the thick and thin spacers under the front suspension plate. Full traction compound on front and 2/3 rears for me.