If you're tired of the day's particular discourse, at least on the Mastodon web client (mobile or desktop), press the settings button in the upper right of your home timeline and turn off boosts globally. Turn it back on later when the discourse storm has passed.
What I've learned from having boosts off is that most of discourse is passed on via boosts. The people I follow directly will post about it some, but usually not enough to take over the timeline.
(Muting words is a good option too.)
@darius It's also nice that you can set a timer on your filters, so words automatically get unmuted when the filter expires. Great idea for when you only need a temporary reprieve.