if you want a serious wheel and tire combo, you can try to find some 16" moped wheels. they're the same as 20" bicycle wheels. wrap those in pirelli mx75 tires. they make a 16x2.5 and a 16x3.
you can also use those tires on regular 20" bike wheels. they're dot rated "J" for 62mph and only 25-30 bucks each.
little bikes are a lot of fun. can't post a link from my phone, but check out my thread, "race bike, pit bike, or death trap."