Ray, well I don't really consider myself a "foam tire guru" by any stretch of the imagination... and I don't know what exactly your standard carpet setup is like...but the things I would try first on my car are(and no, not all at the same time; one at a time
Sauce more of your front tire
Adding more negative camber to the front end
Softening oil all the way around by 5 wt
To give you an idea about what I changed on my car at the nationals and why:
I went from Losi Orange/white springs to Trinity Purples/Blues:
I actually thought my car felt faster around the track w/ the losi springs but it was kind of hard to keep on top of. I made this change about mid way through practice trying to account for traction getting higher and the Trinity springs gave a slightly more progressive-easier driving feel.
I went lowered my rear hub ballstud 0.030":
I thought the car was better with the high ball stud through all the more rounded, carousell-type corners, but I didn't like the way it rolled through that tight section below the driver's stand... I also thought the higher ballstud in the rear tended to want to have a tendancy want to flip easier
Ran a narrow AE hex in the front instead of wide one:
I thought the slightly narrower (0.020" narrower) hex transitioned better and was more stable through the front section in front of the driver's stand...wasn't quite as good through the sweeping corners...but wasn't as liable to traction roll either.
Basically everything I did was to make my car more consistant/faster through the toughest section of the track and less susceptible to flipping over...
Hopefully some of this info will give you some ideas...??
Let me know if you have anymore questions...