The SCSW only covers up to 2004. Your SN is post 2004.
You can call S&W's customer service and they will give you the DOB over the phone for free.
1-800-331-0852 (USA)
Mon-Fri 8:00AM-8:00PM Eastern Time
1997.
That is a really good price for that gun. A 686-4 with the 2.5" barrel would sale for around $650 here in the US.
It is one of the best made 357 revolvers.
Jim