Same thing here but different setup. I found one that will support usb-c video out through a usb-c to DP cable (which suits my setup) but I haven't purchased and tested yet. It's the only one I can find that advertises more than just "data" out.
https://www.amazon.com/Cable-Matters-Multiport-Adapter-Ethernet/dp/B0746P6LPP
Model No201056 (https://www.amazon.com/dp/B0746P6LPP/)
Worked ok for a couple of years.
Now on latest version of Chrome OS. Even tried beta channel for first time to get the latest version. Beta 110.0.5481.46
Ok. DP Alt Mode only.
Ttry this one: https://www.amazon.com/Cable-Matters-Multiport-Adapter-Ethernet/dp/B0746P6LPP
Only USB 2.0 for the USB-A and 10/100 for the Ethernet, but that reserves all of the bandwidth for display, so you're likely to have a better experience driving dual displays.
Here's what I use. Doesn't use Display Link, as far as I know.
https://www.amazon.com/gp/product/B0746P6LPP/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&psc=1