If you wanted to have a small, but exquisite, collection of Hamilton watches you would focus solely on the platinum models. Only four show up in the catalogs, although there are a few other special models. The four you might find are the Meadowbrook, the Rutledge, the Richmond - all from the 1930s and the last one was the 1951 Cambridge. If you were really lucky you might spot one of the four Piping Rocks made in platinum or even the Oakmont - of which one was made according to Hamilton records. I think you might find an Oval or two in platinum as well as a couple of other specially made models.
If you do see a platimum model, be sure to do your research because it was common practice for jewelers to recase Hamilton movements in aftermarket platinum cases and bling them out with diamond-encrusted dials. Those are not authentic models and Hamilton passionately discouraged the practice but with little success. The most obvious tell for these mules is the movement is typically the 17 jewel 980 - which Hamilton would never have put in a solid gold or platinum case.
Anyway, you'll definitely be able to find Rutledges and the 1951 Cambridge in the wild and they are both beautiful and elegant models. The 1951 Cambridge is the second model to use the Cambridge name. The earlier model was made in 1931 only and you won't find too many of them out there.