175 seems a little narrow. The competitors on the Daihatsu forum suggested 185 would be optimum for my setup and 14x6J wheels. They also suggested there would be more difference in moving to a softer tyre compound than moving to 195 width.
The problem isn't really to do with scraping, its more the camber that the car runs with. Wheel angles and lean are significantly changed and at full lock the 185 tyres are almost touching the inner chassis.
If you're a little heavier then I would go with 195, but a soft compound 185 should perform well. My car probably weighs around 700-750KG and soon to be less. Massive tyre contact and weights isn't really a need for such a small car, it's stiff so avoiding any increased weight on the front area should help keep understeer in check.