Stop in for a cup of coffee

I need a 'how to' tip. The front lugs on the Dart disc brakes. Trying to take the wheel off. Lug nuts (of many different varieties) are rusted stuck and the whole lug spins. Any insightful ideas how to remove this mess and cause the least damage? Wheels don't matter but I'd like to salvage brake/suspension parts...

Or drill through it. I've always drilled them out start small and go big til it breaks. Might be easier to cut it with a cut off wheel but you might not want to touch your wheels.?