Hello Cntrprk, Welcome to the forum.
With a 3 1/2 inch barrel it would have to be a 32 Safety Hammerless. The only way to know exactly when your gun was shipped would be to send for a factory letter ($50) from Roy Jinks who is the official S&W Historian. An educated guess derived from a data base that I keep would be in the time frame from late 1894 to spring 1895. But that could be off by a year or two as the factory did not ship them in numerical order.

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Mark Connot