I was trying to upgrade my Windows 10 Enterprise machine to 10586 to support the latest Edge WebDriver. The WebDriver has made substantial improvements since 10240. The issue was, the 10568 build does not come via Windows Update for the Enterprise version, unlike the Home and Pro versions.
Microsoft pushed out this blog that covers details here. There are some good points to review over in the blog.
The workaround is to download the 10586 ISO (from MSDN). It is the full image, but will discover the OS and change it to an upgrade rather then a clean install. The process took me over 45 minutes, but I had all my data pertain.