Steel is hardened by quenching it while hot. The opposite effect occurs with copper and its alloys (brass, bronze). The traditional way to harden copper and its alloys is by mechanically work hardening it. That means forming or bending and peening. Silver soldering small copper parts will anneal them almost as much as quenching them because they are small and lose heat quickly to the air by conduction and radiation. There is no practical way of cooling small parts at a rate slow enough to have them retain their hardness, unless you have a kiln with a timer.
You could try carefully bending the small copper parts gently back and forth until the desired hardness in the bend areas is achieved. The softness of copper is the main reason why brass is used instead in ship modeling. In most cases, though, you can get away with using copper.