There are a number of China eBay sellers making road tires that are slightly larger than the standard. A lot of them go for pretty cheap. Like $4-8 for a set of 4 with rims. I think the largest I ran were near 68mm or 70mm. Those tires are soft, kind of thin, great traction till they wear out. Usually near the edges from camber steering.
If you check the xv-01 thread out, I have some reviews of such tires.
I'd say buy a tire with some tread (not slicks). Because dusty streets and slicks really have need a properly tuned car to not oversteer. It took me months to get it just right. And a tire that has a more square edged profile. Avoid tires that covex too much, because (coupled with slicks threads), it's like driving on ice. That's after buying 10+ different sets of various diameter and tread patterns.
I've come to realize for bashing, x-patterns for the money are excellent. Wear and traction. Though diameter wise they aren't the size you want.
Anyway good luck.