I know it is very difficult to fit what you want under the stock hood Just had a thought after staring at your hood.......the center part of the hood where it is raised could be cut,sectioned and raised to accommodate a nice performing intake.You could get another steel hood or fiberglass hinged hood to make it work.
I never tried radials either even with the possible advantages they may have. My street tire is the MT E/T Street 16.5 x 31 and I just made them last 4 seasons. You might have to compromise and have 2 sets of rear tires. My slicks are 10.5 x 29.5 and do work better at the track than the ET's. But they do hook on a prepped surface.