As mentioned above if you are running asphalt it is best to start with soft rears like pinks. Then go a shore or two harder on the front but with higher rubber content tires like magenta or purple. I played around with the Exceed pro tires for a bit and they worked well with soft rear/med fronts or med rear/hard fronts. I recently changed to CRC's and they seem to provide better balance used the same way with pink rears/magenta fronts or magenta rears/purple fronts.
As for these cars having lots of steering thats not really the case. While I am new to 12th I have found that the problem is getting the power down out of a corner far more than into a corner (I can even lock the rears into a turn and not spin out!). Once you get that down you will be looking for more and more steering.