Use this article to switch to the server-less management paradigm (you'll have to install E2019 management tools on a workstation for example): Manage recipients in Exchange Server 2019 Hybrid environments | Microsoft Learn
Once you confirm that PowerShell management is working as expected, run the cleanup script as per the article to get rid of E2016 server and you'll just use the E2019 management tools. When Exchange SE releases, update the management tools to Exchange SE management tools as per the above article.
If you want to keep a running Exchange on-prem for management, you can install E2019 now, decommission E2016 and then in-place upgrade to Exchange SE when available.