I read through all of the responses.
As opposed to the other post, IMO GY and Michies are overpriced for what you get. BFGs are decently-priced, but too damn heavy like Kumhos.
If I read it right, you are getting separate tires for autocross and not these?? That matters a LOT for what I would suggest. For auto-x and summer use, the Star Specs that James suggested are great, as are Falken Azenis and Hankook RS.
The hot tires at the moment are Conti Extreme Contact (Summer) and Extreme Contact DWS (probably about the best a/s tire.....if there is such a thing).
Bridgestones are cheap, but they are largely old-tech. You can do better.