Just out of curiosity, what's the thiocyanate doing? Removing metal ions?
Formaldehyde crosslinks proteins via amino groups, so adding extra ammonia could very well cause a problem. You may be able to get away with using excess formaldehyde. While some will react with the ammonia, you'll have more left over for crosslinking.
If you've got plenty of material to work with, could it hurt to try it with and without the wash? Otherwise, if your samples are valuable or sensitive in some say, I'd recommend asking someone who knows more about tissue fixation, or hitting the books on this one.