Yes, in fact I tried several USB-C monitors, such as the LG 27" and the HP Envy 23.8", which is a cheap but functional 1080p USB monitor.Have you thought about simply selling that display and get a new one that has USB-C built in, like this one?
https://www.amazon.com/dp/B01B64O3M4/
In fact, I keep a little list of all the USB-c monitors I see on the market and so far I have more than a dozen listed. I like them enough, but for various reasons on my bedroom desk I want to stick to the ATD/ACD. I'm well aware that they are no longer the best monitors around, but they are what I want for that particular corner.