There are a couple of tire suggestions that I can make based on what you want to do with the car. I'd look at the Falken Azenis RT-615, Kumho ECSTA MX, or the like. Both of those tires are sticky street tires that are also pretty good for track day use.

I have a friend with a Miata and the RT-615s and they held up really, really well getting abused by three drivers at a NASA-SE event at Rocingham last year.

The thing to be comfortable with rearding any high performance tire is that driven hard, you're only going to get 10,000 - 15,000 miles out of them before they are worn out.