I wouldn't sub any of those cheeses for Parmesan. Maybe if you had Asiago or Romano, but not the softer cheeses. I like Iszj's suggestion.
__________________
ANDREA
GLORY be to God for dappled things---
...
All things counter, original, spare, strange;
Whatever is fickle, freckled (who knows how?)
With swift, slow; sweet, sour; adazzle, dim;
He fathers-forth whose beauty is past change:
Praise him.
GERARD MANLY HOPKINS