Here is more information that may be useful when choosing tire pressure and tire type to achieve a balance among speed, safety, and cost.
One reason to increase tire pressure is to reduce rolling resistance, which along with aero drag and peak engine power pretty much determine maximum top speed. Rolling resistance can be as important as aero drag (details are on the Design Topics page on my website). Higher tire inflation pressure reduces rolling resistance by reducing tire flexure (which dissipates power) where the rubber meets the road. A caveat is that increased tire pressure reduces the contact (footprint) area, which reduces available traction for steering, acceleration, and braking.
Actually achieving the maximum possible top speed also depends on several other factors.
Re Goodyear Frontrunner tires, see the 2015 list at URL
http://www.racegoodyear.com/tires/pdf/Goodyear_Drag_Catalog_2015.pdf Goodyear makes “Eagle Land Speed” tires rated for 300 mph (with load and inflation pressure specifications) and “Frontrunner” tires that are used on dragsters and list no speed rating. Goodyear and SCTA have authorized the new D2904 Frontrunner for LSR use up to 300 mph at 90 psi and less than 1200 lbs radial load. It is my understanding that the other Frontrunner tires (at least the 17”) are restricted by SCTA to use only at considerably lower speeds and lighter loading because the tire construction may not reliably stand up under sustained high LSR speeds.