Welcome to the Forum. There have been many threads with the question on US antique status of pre-1899, but you might want to search around anyway. The best source of US information on pre-1899 guns is available on this website.
As for S&W lists, they do not exist outside of the SWCA databases that are available to association members. You may want to use the link below to get an idea of where those models fall, but the date of manufacture is really only available via an estimate in the SWCA database or a factory letter. It would seem that if the government has a cut-off date, they should have a list to check guns against????
The Pre-1899 Antique Guns FAQ
One comment to add is that the Neal & Jinks book Smith & Wesson 1857-1945 has specific range of manufacture for each model and change that helps narrow down your purchasing options. Roy lists the 32 Safety, 1st Model as being manufactured from 1888 to 1902, with 91,417 made. The 38 Safety, 1st Model was manufactured only in 1887 up to 5250 and the 2nd Model was made from 1887 to 1890, with serial number range 5001 to 42483.