Seeking advice on how to extract broken lug bolts

It would be impressive to see a skilled welder perform that task (I am not that welder). I think I'm gonna try the plasma gouging technique, mostly because I'm interested to see how it'll work.

The other one I'll try Dana's idea and then use a LH drill bit on the mag drill. The only thing I'm not sure about is whether the drill will be too big or not. We shall see tomorrow. I appreciate all the input so far.

@Syleng1 You're absolutely right -- it's nerve racking taking things apart when you don't know what's coming.

That bolt is identical to the hub caps on my 1993 Mazda b2600i 4x4. Which leads me to believe it is a widely used fastener for hubs .
I have found some that are close, but no exact matches *yet*. There are a couple parts stores I'll hit up tomorrow.
in your case this may have been a Lefty Tighty application…. Lol

You could have a pilot hub made in which the nose fits inside the lug hole to keep it centered and a pilot hole in the center of that to guide a left hand bit and keep it from walking towards the threads .
You know, I just remembered I have some drill bushings knocking around somewhere. Now I just need to find them...