You can inquire about shuttle services to Rye at Ground Transportation. By train you can take the MTA-Metro North/New Haven line train from Grand Central Station to Rye and local transportation from there to hotel. NYAS express bus to Grand Central is also located at Ground Transportation. Or by subway take AirTrain from terminal to Jamaica Station, transfer to E subway to Lexington/53rd St, transfer to the downtown #6 subway to 42nd St/Grand Central.
You can inquire about