Windows 2012 Core - IIS8 - Shared Configuration

Looks like I was able to figure this out on my own. Per the microsoft documentation:

*Note: If NT Service\WMSVC does not have permissions to the UNC share -- which will be the case for UNC shares on another machine -- (WMSVC means nothing outside the realm of a local machine), update the identity of Web Management Service (services.msc) to be a domain user that has access to the server as well as the UNC share.

So what I had to do is going into services.msc on each of the web servers and change the "Web Management Service" to run using my new domain account (ourdomain\userA) and now it all works.

Hope this helps someone else.