There is no shortage of portable touchscreen monitors out there. Generally they're used as a second monitor for a laptop but would be suitable for this purpose as well. Yes, Windows 10 handles monitors of different resolutions just fine.
I happen to have this one: https://smile.amazon.com/Deco-Gear-Touc ... B081D9HN6D
but it has a built-in battery which makes it thicker than most portable monitors, and really unnecessary for what you want to do with it.
I don't know why I haven't thought of doing this with mine. It sits in the closet except when I travel, which is only a few weeks out of the year.