What you're asking is very dependent on every other variable.
Offset, wheel width. You don't generally want to increase your overall diameter. Or reduce it too much. Make your tires wide as you need them to be and you shouldn't run into much problem at factory overall diameter. This utility is very useful when it comes to choosing tires:
http://www.miata.net/garage/tirecalc.html
I run 225/50R17 on a 7.5" with +40 offset and it's the tallest I'd run reasonably.