I ran 193mph at Bonneville in a friend's car that cruises through tech with DS-2s, car runs straight although with a power steering box with no power, meanders around a bit. The rulebook goes with speed ratings of the tires for classes up to Z ratings. If the existing record you are contesting is over 200mph, racing specific tires are required and speeds are based on mfgr recommendations. Moroso does not recommend the 29" skinnies for LSR, but up to 28" is okay and have been tested to 300mph with an 800lb load.

I think the LSR specific tires are like $1000 each and are only produced occasionally.