We want to cache bust on production deploys, but not waste a bunch of time off the bat figuring out a system for doing so. My thought was to apply a param to the end of css
It very much depends on quite how robust you want your caching to be. For example, the squid proxy server (and possibly others) defaults to not caching URLs served with a querystring - at least, it did when that article was written. If you don't mind certain use cases causing unnecessary cache misses, then go ahead with query params. But it's very easy to set up a filename-based cache-busting scheme which avoids this problem.