If it doesn't want to move with a special "head honcho" it is time for patience
I removed a rather recalcitrant head many moons ago with simple tools, but with the engine out of the car!
To achieve this I placed the engine at such an angle that the angled studs were vertical (the bolts were easy to remove)
Than I used some kind of putty around the studs to create a small bowl which was filled with penetrating oil (nuts and washers removed).
I filled these every morning when I went to work and gave the studs a few sharp taps with a hammer.
When I got home in the afternoon I would try the locked nuts method to try to release the studs (more hammer taps and penetrating oil)
After four (4!) weeks all studs were removed without damage to the head ...
Good luck