You don't want increased ride height, I don't think. The fast cars are stock ride height or lowered slightly. Courses are supposed to be safely navigable by stock vehicles, after all.
My gut feeling is that you want to keep the sways if your springs are going to be that soft. Otherwise you'll be riding the bumpstop when you load up the outside front and then the suspension just loses all grip.
In reply to Knurled:
I was thinking a half inch because the oil pan is already flattened and scraped so badly that I'm surprised it's not see through. The skid plate I'm thinking of will likely take a half inch away from ground clearance. It's not like I'm trying to make a monster truck out of it.
Is the picture I tried to post showing up for everybody? It's not showing up for me...
Depends on which photo you're talking about 
In seriousness with respect to ride height, if you're going to be running aggressive tires (and any class that allows you to play with suspension, practically mandates aggressive hoops) you may find that you'll get any additional ground clearance from that. RX-7 #1 rides on 185/65-15 tires, stock was 185/70-13. It may not look it but it is sitting at stock "ride height".
Granted, YOU will be limited by how much tire you can stuff under the Honda uprights (unless you go to Mod and convert to '82-85? Accord uprights so you can run struts) but it seems that 185/65-14 is a common Civic rally tire size. Rally tires run taller than street tires of a given size since the size is the carcass size, and the tread tends to be deeper. (Indy Sport mud tires are HUUUGE for their "size"!)
With respect to ride height, the Golf that I used to have had stock front springs and Neuspeed mega-ultra-drop rear springs. When I dropped the car off the floor jack, the jack got stuck under the gas tank 
But making the back of the car low made it less tippy, less tippy meant front tires stayed planted in corners, planted in corners meant I could actually accelerate out of them despite not having a limited slip.
Notice that Leon Drake's Rabbit/Caddy/Miata thingus sits VERY low in the back. People were freaking out over his tire choice at Nationals but I still say that was a red herring, he's a good driver and his suspension was set up.
In reply to Knurled:
Obviously all of this is just theory at this point and I appreciate all the advice. Once the car is actually out there all this is subject to change. Currently though it's basically a blank slate and I have no experience to fall back on. It would be so much easier if the car had a stock suspension under it.
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