With that kind of inquiry, it sounds like you're in need of some books to research for details.
Probably the best sources for the information level of detail you request are those by Roy Jinks, S&W Historian and Charles Pate in his book: "U.S. Handguns of WWII, the secondary Pistols & Revolvers" 1998.
The new design was introduced in Sept. 1944 or Dec 1944, sources vary, at about #V-800,000, and it's known as the "slide action hammer block".
Since ~ 40,000 revolvers were sent back to S&W from the military for retrofitting of this new safety, the serial numbers of guns that have the new safety will be all over the place.
However using the dates above you can interpolate an approximate serial # range within which new revolvers were built with the safety, from databases and published lists based on known and estimated serial # ship dates.