F.lux was something I initially had trouble running when I moved to Linux as well. I ended up using Redshift instead and haven't looked back since. If you're running Plasma 5, this widget is very useful with Redshift.
I know this technically doesn't answer your question, sorry.
> Install Wine (Only one program that we'll absolutely need it for)
Unless you want them to manage their Wine configuration, I suggest PlayOnLinux instead. It's easier to use if a script exists, and it's not too hard to write your own (for them).
Personally I’d recommend RHEL, it is paid(CentOS is free so if thats an issue look at that), it has paid professional support, only gets major updates every 5 years, with release getting security updates for 10 years, and it is incredibly stable and robust. Only downside is that with the default GNOME environment there’s a slight learning curve.
RHEL: https://www.redhat.com/en/technologies/linux-platforms/enterprise-linux
CentOS: https://www.centos.org/
There are more options out there then people have recommended. Here is what I use for some of my IT training and youtube stuff. Both are free.
OBS can capture anything and works as a broadcasting suite for capture or streaming to most platforms out there.
https://www.blackmagicdesign.com/products/davinciresolve/
Davinvi Resolve can cover most of your video editing needs. It has a learning learning curve but I have been picking it up steadily for little video projects and it is very powerful. I love how many options it has for rendering the final video. It is professional software available for free without a lot of the functionality cut down.