Just like the title of this thread:
Are there any Source Ports around for Shadow Warrior: Complete?

Does Shadow Warrior: Complete actually work in EDuke32?

Yes, there are 2; one based on the other.

The first is JonoF's port; which was last touched in 2005. http://www.jonof.id.au/jfsw (and there were some attempts to have this work on non-windows.)

The second, which I found yesterday, is SWP; http://www.proasm.com/

Source is there for both.

SWP seems to have some bugs that crash the game back to Windows, but on the other hand, you get WASD keys.

I would say this is the place to start for full Shadow Warrior fixing under modern systems.

Both have issues unfortunately. JFSW is unstable and often crashes especially around female assassins. SWP is more stable in that regard but it does have a nasty issue with save files occasionally getting corrupted when trying to load a game.