Actually there are some select 150/60/17 that are the biggest and widest that have been put on a stock rim, although not highly recommended as you would not necessarily use the complete width of the tire.
Me personally, I would not go any bigger than a 140. Regardless of how wide of tire you manage to put on the 3.5 inch rim, only about 3.2 inches of rubber will contact the ground. (contact patch).
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