Please excuse the long post, but it's a complex subject.

I've had issues with the M03 traction rolling on various tyres.
The easiest fix for me is to change tyres or tyre compounds. My experience is that the front is the main problem for traction rolling, so go to a harder compound tyre or something with less grip.

Other solutions that can help:
-Keep the ride height at 4mm. Some people run 3mm on carpet if it's smooth enough.
-Run a lighter oil, 30wt all round with 3 hole pistons.
-Run softer springs.
-Run harder springs (yeah, I know it contradicts the previous statement but it's worked for me)
-Run your shocks slightly longer, around 56 - 57mm overall length can help.
-Use a different body - some bodies are quite tall and like to roll over, other bodies have hardly any clearance and can rub on the tyres which can lead to various handling problems, if you're using the 60D radials then use the Cooper S 2006 or Honda CR-X. Both of these bodies have plenty of room around the tyres and can be dumped down fairly low.
-Add weight to the car ... yes, ADD weight. When we first made the switch to lipos in Melbourne, most of us were traction rolling all over the place. Everything was the same apart from less weight due to the lipo. The rules here require a 1330gram minimum weight. So with an M03 using a lipo you have to add about 80-100grams of lead. Once this rule was brought in it settled most of the cars down. But with all the different tyres that came out with more grip the traction rolls started to happen again, so some people opt to run their minis even heavier. The guys who consistently finish in the top 3 are running all kinds of weights, some run their cars right on 1330grams, with the heaviest I've seen sitting on close to 1500grams!
-Play with track width, try 6mm hexes all round, or use the optional spacer set to add more width, up to 8mm, or try 4mm hexes front, 6mm rear or switch it the other way around. It's hard to say which will definitely work for your track conditions so you'll need to experiment.
-End point adjustment and steering rate. If you have these features on your transmitter you can use them to limit the amount of steering available and the speed of the steering. You can dial out the steering until it stops traction rolling .... but you might find your turning circle increases.
-Driving style. Some drivers like to just back off the throttle and turn into the corner, this can cause a traction roll. Try using the brakes. Come up to the corner, brake, then start your turn and get on the throttle. If you have just 1 or 2 corners on the track where you traction roll adjusting the point at which you brake or get on or off the throttle can stop the traction roll.

So, plenty of ideas for you there