From what you have described, this gun should have the first type of front sight, a half moon, or half penny round type. Not a smooth ramp or serrated ramp. It would also be on the improved I frame, not the latter J frame, and would have a slightly shorter grip frame and stocks than the later J frame Chiefs Specials and Mod 36s.
Please let us know what type of front sight it has.
I am not sure what you want us to tell you, though. You seem to have covered the most important criteria and have an idea of the features of the Baby Chief; you have the Jinks letter, etc.
As far as how low the serial number is, there has been a long runing thread in this sub forum concerning "Who has the earliest known Baby Chiefs Special serial number?"
Since you didn't provide us with yours, all I can say is, it is a very early one if it has a 3 digit SN. Several members have, or have owned two digit Baby Chiefs Specials.
Congratulations on your gun! We would love to see pictures of it.
Value is always subjective. I would think any seller that knew what he had with this gun would probably not accept less than $600 for it, and possibly, would want to price it a little higher than that. If the gun was listed for sale on Gunbroker (as opposed to this forum), it could possibly sell for a lot more than most of us would pay. Buyers have been paying ridiculous prices for some older model Colt swing out cylinder solid frame revolvers the past few years. I don't know if this trend has affected some of the S&W older revolvers or not.
The original matching box would increase value for most of us $100-$200.