Unfortunately, there’s not really any easy way to accomplish what you’re looking for, since of course you’ve only got one set of dates to play with, and they work pretty much how you’d expect them to.
If you want to take out the trash on Saturday as your plan, then maybe setting a Due Date for Saturday is what you should be doing. While there may or may not be “hard consequences” to not taking out the trash, the reality is that if you expect to do it that day, and want a kick to get it done on that date, that’s still arguably what a “Due Date” is for.
The other option is to use flags combined with a weekly/daily review cycle, which is the method I tend to use… Things like household chores will live in their contexts, unfledged, and when I start my day, I tend to glance through all of my contexts, and then flag those things that I want to do “today” so basically build my “Do Today” list. Using that method, you might see “Take out the Trash” in your “Home” context each day you review, and just pass on by, but when Saturday comes, you tell yourself that you do want to actually take out the trash, so you flag it, and then work from your “Do Today” perspective on that day, where it will be sitting there, waiting for you.
You could take it another step further as well and create a repeating item with a “defer again” date on it, so that once you check it off, it will pop back up again a certain number of days later. It will remain hidden from your contexts until then (you don’t need to take out the trash if you’ve just done it in the past couple of days), but once the defer date passes, it’s ready to go again the next time you look at your “Home” context, or right away if you’ve flagged it as such.
The reality is that as great as the Forecast view is, it’s not really ideal for dealing with tasks that don’t have a hard landscape to them. This is why I tend to do all of my work from custom perspectives instead, only using the Forecast view to get a birds-eye-view of those more critical things that are upcoming, or to get a quick list of high-priority tasks that need to be done today.