http://www.edgeracing.com/tires/2056015/
try the falken ziex 512, ive heard good/great things about them.
theres also the Toyo Proxes Tpt
i dont know anything about them, but they should be a slightly softer rubber than the ziex 512, which could give better dry traction.
What would switching to 70's size tires do for you??
um well i dont know what size the corolla has stock, but you want to keep the same rotational diameter as stock.
for a 70 series tire to keep the same size as stock on the 93-97 corolla you would need a 175/70/14 tire which would be 2.25 MM taller than stock.
its not hard to find a calculator which will tell you all these things pretty easily.
you would only run a tire with a taller sidewall if you decreased your wheel diameter or something weird like that. there would be no performance benefits. generally you want less sidewall because the sidewall of the tire is what flexes and gives during a turn which is PART of what causes the mushy feeling on initial turn in. the other factor is the tread squirm, which is literally the tread contacting the road wiggling between the surface of the tire.
think of it like this. you have the tread pushed to the road and then the wheel. the contact patch of the tire can wiggle side to side during turns. the shorter the tread the less it squirms and the less sidewall the less the tires contact patch can wiggle side to side in relation to the wheel.
understand?