In all-weather tires, there is but one, the Nokian WRG2. The only downside is that it’s a little noisy. Goodyear’s Fortera CS TripleTred tire is also amazing, but it’s pricey.
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That tire size is correct for your car. The issue of your car scraping is not a tire problem. Cars cannot be raised or lowered by changing the tire size. The auto manufacturer has a set diameter in mind for your car’s tires. The whole car’s suspension is designed around that information. The car’s CPU needs to know how many revolutions the wheel makes per kilometre at any given speed. From that, the car company determines what gear ratios go into the transmission. Those gear ratios in turn affect the car’s acceleration and its fuel economy.
If you changed the tire diameter to make the car higher off the ground, all of the manufacturer’s calculations would be tossed out. In addition, the car would accelerate slower, use more fuel and the transmission’s shift points would be changed. Sorry that there is no easy fix for your problem. It may be worth having the car’s suspension checked at a Honda dealer. Perhaps the car’s springs are sagging and thus lowering the car.