I am curious as what you mean by drag tires. Do you mean a track only tire like a slick? Or are you including dot legal drag radials in "drag tires".
I run a dot legal drag radial, which I drive on the street, to the track, to work, etc, and they are fine. Just wouldn't do that in the rain.
If you mean a true street tire, you will be hard pressed to run in the 10's. I have seen people run in the 11's. In the new car & driver I saw a 0-200-0 mph test with five cars. They were running huge street tires, but street tires none the less. The 1/4 mile times were like 11.0 @ 147mph. If you ran 147mph with slicks or drag tire, you would be in the low nines. Drag tires or dot legal drag radials make a huge difference.