2900lb is lighter than my R33 and I run 13-14psi in the Nitto's. I'd try 18psi in them to start with and *maybe* drop it to as far as 12 from there. Obviously you'd do that in increments to guage the best pressure.
As far as burnouts go, I have never been one for massive smoke-shows. In fact, I have read on American Supra & Mustang forums that the BF's require only a small burnout to get them to an acceptable operating temperature. Take the marketing with a grain of salt as when they say, "Little or no burnout req'd" they are REALLY trying to say, "These things wear out fuggin' quick and if you don't shred them, they'll last longer."
Also, you should find that you don't have to do as big a burnout as the first one during the course of a day. They do actually retain some heat.
In terms of launching, I have absoluteley no idea what will work well with your car. Radial tyres, (soft compound or not) don't behave in the same balooning type of way as drag slicks due to their radial construction. The radial belts hold the shape for road driving as well as race driving.
They do however squat like a bastard!!
Good luck mate!!
Adrian