Success!!
http://www.theartsnobs.com/wp-content/uploads/2013/07/303690-good_news_everyone1.jpg
First off: Thanks, everybody! I’m happy that this thread is getting people into thinking about the fine points of Blueprint multiplayer. I’m sorry for not updating sooner. I’ve been really busy and completely stumped. A bad combo. I was having a huge headache figuring out exactly what client, server, etc. was calling any given function and, more importantly, why.
Fortunately, Epic posted some AWESOME videos on Blueprint networking. If you haven’t seen them… SEE THEM NOW!
There’s a couple hours worth, but they REALLY clearly explain everything from replication to the various ways Blueprints can send and receive data from servers.
https://www.youtube.com/playlist?lis…t4chjhypxIO9ZB
Thank you Epic for providing such awesome learning resources. I’m blown away. The things people will be creating with UE4 will push gaming far and fast. 
Now, for the good news:
I’ve got replicating, physics-based actors playing in multiplayer. Both with a dedicated server and a listen server. I haven’t tested outside of the editor, but that’s gonna happen tomorrow. I’m writing up a post now, but wanted to let y’all know that there’s been progress and that it’s GOOD.
Here’s a little preview:
And, here’s the project files for those that just can’t wait to take a look!:
DOWNLOAD HERE!
I’ll be back tomorrow with the full breakdown!