I've had excellent results from Hoosier slicks. I only run their lightweight radial slicks because I normally run on very well prepared tracks. They are a little faster, but sensitive to track conditions/prep. But for most applications, I would recommend their regular, bias ply slicks. They are less sensitive to marginal track conditions and will be more consistent. Consistency is what wins bracket races.
Air pressure will vary with every combination. Using wider wheels can allow the use of higher air pressure while still maintaining a full "footprint", reduce sidewall flex and help stability on the top end. I have 9" slicks on 10" wheels and have been running 21 lbs in them. But you would need to experiment to see whats best for your combo.
Post some car info as well as tire and wheel sizes you are considering and someone may have a similar set-up that can offer a starting point for air pressure.
Hoosier also has a variety of sticky DOT street tires.
Hoosier drag tires
