try with FUSE. rclone fuse mount or https://github.com/harababurel/gcsf or https://astrada.github.io/google-drive-ocamlfuse/
Place the mount point in your home folder (or a sym link to it) and then the share will be also accessible from ChromeOS.
it's not the 100% native integration you want but you can do most of the use cases since the mount point works in both worlds (chromeos & crostini) and been in the home folder it benefits from the automatic path translations:
x-www-browser /home/yourname/rclonedrive/file.html
will open file.html in ChromeOS.
or manually navigate from ChromeOS with the 'Files App', 'Linux Files' folder, 'rclonedrive' folder, file.html file.
After some searching it appears there is not but people have been asking for it for a few years now. However, I found this FOSS project that will do it. Given how robust that project is I assume it has some pretty decent APIs.
Just a quick follow-up: Under Linux with 'google-drive-ocaml' I were able to mount the shared drive as a separate drive (as a team-drive, not as a 'Mydrive')
It says I have 8 of 8 exabyte free. I think that will do for now..