I use AD08s on the Z and our track day tubby '2, amazing tyres for warm/dry grip, had a few grip issues at Brands in the '2 though when they'd been gritting the ciruit as it was so cold and frosty but judging by the amount of others who had offs and the two people in the barriers they didn't fair too badly in that kind of weather either. Also they look really meaty which is a plus.
For the budget above I'd go MPSS or Yokos.