If you meter for the snow with an incident meter (such as a cheap handheld meter rather than a builtin), you won't have to "overexpose the snow."

Expose normally. Develop normally and consistently.

With a wide brightness range film like tmy2 and a developer that tames highlights like PMK, I shoot snow (in bright sunlight) as described with other stuff on the roll as well. Obviously get things right in the negative without being a slave to the process, and do the final contrast minor adjustment with multigrade paper if needed.