You are not able to avoid double taxation on your RSUs.
California considers this CA income because you earned it while performing services in California.
Equity-Based Compensation Guidelines
New York taxes it because it was received while you were considered a New York employee by your company, so it would be New York-based compensation.
You cannot claim an other state tax credit on a NY non-resident return as a nonresident. You can claim a New York State resident credit as a part-year resident.
Credits for New York State residents
New York has plenty of accountants who special in expatriate taxes. You would get better answers by speaking with someone in person who can ask questions to get a full understanding of your situation.
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