Theres usually a tyre speciallist around selling tyres, changing wheels and providing advise. I'm amazed at how low pressures can be, compared to standard road use you can go. I rode on 26 front 23 rear on a hot day earlier this month.
Where is your Trackday? This guy Stef covers Snet, Mallory, Cadwell, Rockingham and others. He's a top bloke and always willing to advise and check without charge. Give him a call and see if he'll be at your Track day.
http://www.tyres4bikes.co.uk/