Where have you looked? I see several H1 LED bulbs that ground through the mounting plate like H1 bulbs do.
Why would you want to ruin your fog lights? If you had to, you could modify the housing and/or put a different connector on. The problem is the idiots making the automotive LED bulbs are catering to the crowd that has no concept of glare or legality so they're trying to make them as bright as possible, in a high-glare cold/bluish color temperature. Buyers want to pretend that if their light is bluer, their ride has been transformed into a futuristic space ship.
That's the worst ~white hue possible for penetrating fog, and the worst place to use them because fog lights are wide beam. Fog lights are most effective with a color temperature under 3000K.
Anyway, if the bulb you want has two wires, you simply run the 2nd wire to any ground point, for example a screw in the housing since it was grounded.
