State tax filing

Thanks AmyC.
When I spoke to someone at NY State Tax office, she mentioned the same thing my employer mentioned; use form IT-203 non-resident. (That form is available as a PDF and "type to fill-in" then print it out and mail)
Otherwise, it seems the ONLY way to use TT is to purchase the NY state form ($45) and claim ONE day. UGH.
I think I will file the 203 via paper and mail it in. There I can list Federal wages in one column and enter ZERO for a NY column. And a line for all taxes paid (incorrectly) for a refund.
I don't need it to be fast (electronic) just accurate and a FULL refund and avoid buying a state form from TT.
Does this sound accurate?