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I don't know if there is such a thing, but the closest thing I can think of is layout machi. It allows you to manually divide the screen in different areas on-the-fly, for instance you could divide the screen in two sections, the left one would be the biggest and the right one would include different areas on top of each other like in a master and stack. Once you created the layuot, each new window will occupy only one of the areas, leaving empty the remaining space. However (at least at my knowledge) it doesn't provide automatic window positioning like in a classic master and stack, meaning that every time you open a new window you'll need to manually move it on the desired area, so I don't know if this can be useful for you. In any case it would allow you to have only half of the screen occupied by a single window, keeping a certain level of tiling properties. Moreover it's possible that this layout has some features which I'm not aware of that would allow you to better meet your needs.
Another possibility is to use client layouts from a third party module. You can have a look look at https://github.com/lcpz/lain. They have some custom client layout that seems to match your requirements, like the termfair.