You can control pretty much anything. For $1,000 you can get unlimited Remote Desktop. No, nothing like RD in Windows. You get screen sharing including a curtain mode so users don’t see what you’re doing, and a whole lot more. Basically, between OS X and Remote Desktop you get the ability of Windows, SCOM, Norton Ghost, and a whole lot more. I suggest looking at Apple’s web site for the whole list of features for client management, including software and update pushes and client hardware and software monitoring. You can even do net boot with custom images for different groups.
I’ve looked - not very detailed where I was. What about diverting the user’s local files to a network share, invisibly? Distributed/replicated file shares across the various offices, automatically?