Except in Guam

But the problem still stays: if she had another opportunity to live abroad, then we might probably married with a divorce obtained, let's say, in Guam.
But we can't use our marriage to obtain a visa, that's the problem! Because to obtain a marriage visa she would still have to go back to the Philippines where the new marriage wouldn't be recognized.

Anyway, I'm planning to move to the Phil this summer, to be close to her until she gets the annulment.
I'll use my savings!