I hear what you’re saying about not being able to go try devices and ask questions. I used to work in tech sales, and then in a tech call center (and then in graphic design and then web development and then tech journalism) before I started teaching, so I dig this stuff and am happy to help out.
As long as the screen uses capacitive touch technology, you should be able to use a capacitive stylus, yes. There are some multitouch devices that use infrared light instead of capacitive touch. Those rely on physical pressure, so I’d think that any soft, rubbery pointer would work with those.
Keep in mind that most touch screen monitors aren’t really intended to be used as drawing tablets, so while they will register touch with the stylus, the drivers they come with might be better suited to point and click behavior than stylus strokes. They might behave like a mouse instead of like a stylus, and not have any way to improve that feeling. I think it would be kind of a crapshoot.
Something like a Wacom tablet with a built in screen is specifically meant for the uses you’re describing. Personally, if the $400 price range wasn’t a deal breaker, and I needed this whiteboard function quite a lot, I’d go with something like this. It will be more than sufficient as a white board, and you might find you enjoy using it for other creative projects as well. There’s lots of free and open source drawing software out there that makes good use of tablets like these, from image editing to illustration, to sculpting and CAD software. I guess there are also versions that allow you to use paper instead of a screen. I’ve used Wacom tablets in the past and really like them.
I would love to see what your setup looks like if you decide to get one of those monitors you mentioned. I’m kind of chuckling to myself imagining you holding it like a notebook with cables sticking out of it from awkward directions. If you’re splashing out on new hardware, you might want to get an (adjustable monitor stand as well)[https://www.amazon.com/dp/B00XUF2GBI/ref=cm_sw_r_cp_api_i_BxcaFb7VYWKMP] so you can get the surface at the angle you want. You’ll probably also end up needing a hand guard to prevent the screen from registering extraneous touches. I’m not necessarily recommending these two brands, just using them as examples.
Cheers, mate.