I've never been to, nor do I know anyone who has been to, a PCA event, but Im just here to give you the obligatory "do an autocross to get a feel for your car" even though you said you didn't want that
In the very minimum it will show you how your car will react to fast turns, what you can and can not push her to do, and what to do if your car does go into a spin, or you start to lose control, etc. Only then would I consider a track day. Autocross is not about speed, it's about handling, and you should understand handling before you graduate to speed.
Then again, the PCA schools might cater very well to complete, brand new performace drivers, but someone else will have to chime in about that.