Since the original kit you are referring to was from 1976, the instructions are going to be hard to come by as the kit is long out of print. Assuming you have this antique 1/96 USS US kit, there is possibly not too much difference between the Connie and US. I would think that Revell might have retained most of the design specs with the exception of the differences between the two ships...here are the instructions for the Connie in 1/96 - manuals.hobbico.com/rmx/85-0398.pdf
The major differences between the two ships was a poop deck added to the US with a roundhouse on top. Second would be cannon... she carried 32 24-pounders an additional 2 bow-chasers. Just prior to the War of 1812, she carried 24 42-pounder carronades if this is the time frame you are looking for. Interior framing differences probably won't apply to the build as they are not seen once complete.
Thanks for the info. I have the 1/96 constitution under construction. The Kit was poorly molded and I had to remove a lot of flash from the mast parts. When I started the final assembly and put the mast in place, the foremast was so badly distorted that I discarded it and order replacement parts from Revell. Revell will not replace the parts until I send the original UPC from the box, which has been long ago discarded. Never buy another Revell kit again! It's a shame, I remember when I was a kid that their models were the best around.