It's hard to be sure without seeing any pictures, but I think what you've got may be the "Quick-Build" Constitution kit from 1969.
Revell has in fact released at least four kits that represent this ship. (My source for all this is the bible on the subject, Thomas Graham's Remembering Revell Model Kits.) The first was originally issued in 1956. It's on about 1/192 scale, about 18" long, and more-or-less represents the ship as she appeared in the 1830s, with raised bulwarks and a figurehead that represented Andrew Jackson. It's been reissued many times (sometimes with sails, sometimes without; sometimes with plastic-coated thread "shrouds and ratlines," sometimes with injection-molded styrene ones), and is still in the Revell-Monogram catalog.
The second, and largest, appeared in 1965 and is generally stated as being on 1/96 scale. (Dr. Graham lists it as 1/108; I'd have to measure it and compare it to a set of plans to form an opinion.) It's about three feet long, and is based on a set of plans commissioned several years earlier by the Smithsonian Institution. There are some legitimate questions about some of the details on this kit, but in my opinion it does a pretty good job of representing the ship as she appeared in about 1814.
In the late sixties and the seventies Revell was having financial problems, and took some rather bizarre steps to try to bring new customers into the hobby. One of these attempts was a series of "Quick-Build" sailing ship kits. They were (with a couple of exceptions) simplified versions of kits in the big, three-foot series. They cost somewhere in the neighborhood of $6 or $7 (compared to $12 or $15 for the big kits), and featured one-piece decks, lots of cast-in details, and minimal rigging parts. (No blocks or other individual rigging fittings.) Dr. Graham lists the Constitution in that series as being on 1/159 scale, but the scales of plastic sailing ships always seem to be listed inconsistently in references. In any case, it was a scaled-down version of the three-foot kit, and like that one had a simple "billet head" for a figurehead. I suspect this may be the kit you've got. Like the others, it got reissued at least once in a different box. Dr. Graham lists the kit numbers H-362 and H-357 for it; if yours has one of those numbers, the question is answered. (If yours has some other number, it may still be this kit. Dr. Graham's list only goes through 1979; the kit may have been reissued again since then.)
The fourth Revell Constitution, originally issued in 1972, was a "wall plaque" kit - yet another desperate effort to attract new customers. Part of one hull half was sliced off flat, and the model was mounted on a plaque representing an old map. If you had that one you'd be in no doubt about it.
I'm a little confused by your reference to a U.S.S. America kit. The two sister ships of the Constitution were named United States and President. There was no sailing frigate of that name (though a sailing ship-of-the-line named America was built during the American Revolution and turned over to the French). I believe Monogram did make a kit representing the modern aircraft carrier America; maybe that's the one on the list you consulted.
Hope this helps a little. Good luck.