Hi William,
Thank you for coming Microsoft Q&A.
As I know, compatibility mode is based on hard coding, so if there is an application without compatibility mode, we might not able to make any modify to add it.
We could delay Windows system to install feature update up to 1 year, however, I noticed you could use Windows 10 1803 on your environment, but this version will end of support until Nov. 2020. So delay version 2004 feature update is just a workaround to postpone your action which will not resolve it. We know, you might want to disable feature update, however it is not possible for Windows 10 except they not connect Internet always.
flash.ocx file issue, we recommend to ask for help from flash support, they should be more familiar with their product.
According to your description, we think your issue might be more related with windows application compatibility development, so we recommend to ask for help from winapi-compatibility team, (try to create a new thread and change tag to "winapi-compatibility"). They would give you some suggestions on develop point.
If you have any other confuse, please reply to us directly.
Bests,