1. Make sure you do not make any entry under General > Client Information for the spouse's SSN;
2. Under General > Misc. Info./Direct Deposit, click on the Miscellaneous tab; and
3. Scroll down to the line for Spouse is a nonresident and does not have an SSN/ITIN (MFS Only) and check the box.

Thank you for responding. This helped - except it spurred a new diagnostic "New York: Spouses Social Security Number Missing"

I heard somewhere else that CA needs a SSN or ITIN, too.

Did you figure this out for NYS & Fed?