Nitto Drag Radials in 315x35x17 will fit on stock rims with no problems. They might rub the fenderwells slightly on hard shifts and weird bumps. You can have the fenderwells rolled for very cheaply at a body shop.
The work was done by Vaughn Machine (California) (626)358-6413 for about $550. The pic also shows the 1" spacer ($65 each, by money order only) that I got from: http://www.wheelspacer.com/contact.asp
NB: I'm not affiliated with either of these companies.
Both companies machine and balance their work to 10,000ths of an inch - Vaughn says they usually have to remachine the outside (unmodified) part of the rim to get its tolerances equal to that of their work on the inside. The spacers are 'hub-centric' (everything is machined perfectly equidistant from the center).
If you decide to try this, you might want to send Vaughn your front rims to get widened to 11" or 11.5" (not the rears). That way, you'll be able to move your 9.5" rear rims to the front, and run the widened front rims on the back. Note that if you do send them a front rim, your offset will change, and you will need to run a thicker spacer on the rear (~1-3/4" vs. 1").
275's would be the biggest you would want to go. Anything larger will give you too much sidewall flex.
I've seen someone running 315's on stock rims, but that required cutting the fenders. It looked pretty funny, but his auto still chirped the tires downshifting into second on the freeway under Boost and NOS to spool up his t-66.
I received a notice in the mail last week that Toyota is issuing a recall for the driver airbag for the 97-98 Supra. I believe this part is discontinued and should create an interesting dilema for Toyota as they will be forced to reproduce these airbags in an updated form.
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