Not sure about offroad choices, but for onroad I would go for the HPI Phaltlines- tape the inside to prevent ballooning.
Offroad tire choice depends alot on the terrain- hard dirt, gravel, sand, grass, loose soil- many possible options depending on what you're driving on really. I would say something like 40 series proline mashers for an all-terrain type design (chevrons basically), or maybe something like the bowties with small pins for grass.
Personally I dont race or desire maxximum performance, so I just go for good looking tyres (vain
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