I've had State Farm for years with no problems with either of my 67s, probably just an agent issue.
The VIN won't tell you anything other than what I decoded for you. The Fisher Body plate (a.k.a., trim tag, cowl tag, etc.) will tell you what interior/exterior colors and some plants (Atlanta, Framingham & Kansas City ONLY) had 'group' codes that do indicate other options like transmission, console, a/c, etc. - not all options but some of those that meant body or interior changes from the norm.
Post a photo of the tag or the layout and someone will help you; me if I'm around. Oops, just reread your first thread and see it's a Baltimore car. Baltimore did not have these codes on the body plate so there's no way to tell from that what options might have been ordered. - Sorry. :noway: An indication of transmission might be the instrument panel if it was a column shift; PRNDL would indicate Powerglide, PRNDL2L1 would indicate TH400, nothing could indicate a manual trans or a console mounted auto trans. Might also check the top of the frame on the driver's side under the hood and look for a bracket for the clutch Z-bar that would indicate a manual trans. I know my 4-speed SS had one (naturally) but my automatic 67 El Camino does not.