If the head is aluminum, I'd go the alum route.
If it is cast steel, I'd take it to your local machine/welding shop.
An experienced welder will know how to use a tool steel welding rod.
A tool steel welding rod will only stick to metal that it is contacting.
(That is where experience becomes the key word)
I have witnessed broken drill bits being removed in this process.
The welder built up a puddle using a tool steel on top of the broken bit, then
laid a hex nut on the puddle and continued to weld it fast.
A few dental like twists on the nut freed the broken drill bit.
The foreman was very pleased with the recovery.
The welder told me, "It wasn't me, it was the basic characteristic of the tool steel rod."
Never the less, I was just as impressed!
Rick