Microsoft released MSI for Surface.
http://blogs.technet.com/b/surface/archive/2015/03/04/surface-pro-3-msi-now-available.aspx
All explained in the above blog link.
You need to install the driver for that.
http://www.microsoft.com/en-us/download/details.aspx?id=38826
Be sure to, select Update for Windows 8.1 for x64-based Systems (KB2968599)
Hi Ben,
Welcome aboard!
I don't know about your Mac Setup but in Windows and specifically in your case if you want to print from software running in your remote machine then you need to install the printer that you want to use in the remote machine.
You can share your printers in your Sp3 but...