I just re-read your original post and see that you mentioned a "B". The "B" that you mentioned in relation to the serial number 34304 is not a part of that serial number. It indicates that the original finish that was applied by the Factory was BLUE.
The fact that the gun has been refinished pretty well diminishes the collector value of the gun. That doesn't mean that it isn't still valuable as a shooter or as a family keepsake. You will be hard pressed to find a better .44 Spl. to wear as you wanted for "riding". Just don't "hot-rod" it or try to make it into a Magnum and it will outlast you by many years.
We still look forward to seeing your pictures. I am in the Dallas area so, if as you are in TX as your name indicates, and have a chance to come to the Dallas Mkt. Hall show on Jan 5-6, I'll be happy to look your gun over and try to give you some more information on it.