Cisco AnyConnect split tunneling on Windows 10

Solution 1:

The Cisco AnyConnect client must be blocking out the local network for the computer. This is dictated by the VPN server, but apparently the Shimo client can ignore it.

A replacement VPN client is OpenConnect, described as "an SSL VPN client initially created to support Cisco's AnyConnect SSL VPN" since "the Cisco client ... found it to have many deficiencies".

To extract the login details of Cisco AnyConnect, this might be found in the file %ProgramData%\Cisco\Cisco AnyConnect Secure Mobility Client\Profile, which is (or contains) an XML file.

This XML file might contain the tag HostAddress, which has the address of your VPN server. Note that it can also be HostName and there might be multiple tags. You need to pick the right one.

You might also need the VPN group as well. In that case, search for the keyword group in the XML (and probably XSD) to get the required group information.

More information about the structure of the XML file can be found in the article
Anyconnect XML preferences.

This is as far as I can go without having both products on my computer. Feel free to add to my answer any additional steps that you took.