Turning Traction off is key to prevent "SC nanny code" as you call it..(LOL)....you probably realise this though.

If you don't have an LSD (it would appear) then all I can offer is maybe squeeze the accelerator off the line to maintain traction a little better.
I've never been to the track and have never run Drag Radials, but have a few "on ramps" around town I try a couple of times a week where I can hit 80mph within in the mandatory 4-5 seconds (for this car) and then throw on the anchors to get back to 55-65. Much fun - even better with the top down.

Otherwise invest in an LSD (I have the Wavetrac) if you plan on pursuing better times/thrill. They used to go for around $800 + fitting. Not sure if Quaife LSD's are still favoured among some.

Tracksters may have other suggestions.