https://en.wikipedia.org/wiki/Fuel_taxes_in_the_United_State...
https://en.wikipedia.org/wiki/Highway_Trust_Fund
(road damage is roughly proportional to the fourth power (not square root) of axle weight (and linear with axle count), so it's heavy trucks doing most of the damage to road surfaces through a compression wave that penetrates into the asphalt surface, as axles travel over)
https://hackaday.com/2025/06/26/field-guide-to-the-north-ame...
But I don't get why you'd want to both subsidize and tax. The government gets money from the tax, sure, but if they get $X from taxes and spend $Y on subsidies, couldn't they just remove the subsidies, change the tax to $X-$Y, and use the money that used to go to subsidies to fund road maintenance? If that still isn't enough, then you can increase the taxes.
To be honest, I suspect I know why it is like this. The subsidies go to oil companies, while the tax comes from citicens. So the combined effect of oil subsidies and fuel taxes is to transfer wealth from citizens to oil companies.
There are also imports to be considered. If you take the money for roads out from the production subsidies then domestic producers will be effectively paying more toward roads than foreign producers that export to the US.
Taxing gasoline to support roads does a much better job of approximating a per mile road user fee which is what would probably be the best way to do it if the overhead could be kept low.