Force IE 11 compatibility mode for certain sites within domain
Solution 1:
You can use Group Policy to enforce compatibility view for a specific subdomain.
Press Win + R, type gpedit.msc
and press OK to launch Group Policy Editor.
The policy can be found in Computer or User Configuration > Policies > Administrative Templates > Windows Components > Internet Explorer > Use Policy List of Internet Explorer 7 sites.
Solution 2:
Since you mention IE 11, I would like to bring up Enterprise Mode, which rolled out in April 2014's update. It allows you to curate a list of sites, enforced by GPO, and have them run in a strict "IE8" layer. At least, that's the short version.
The juicy part is the fact that the list is an XML file, you can set subdomains and paths. See the example on Technet: http://msdn.microsoft.com/en-us/library/dn640696.aspx
When configured via GPO, IE 11 browsers will look to a URL for an XML file, and use that file's instructions to render sites in the appropriate mode. I personally never got into IE Compatibility Modes, but so far I'm loving EMIE. I can successfully run ancient ActiveX based intranet apps the the same browser as HTML5 tabs.
EMIE also allows tracking usage of the feature via a HTTP GET logger (IIS application). If a site isn't on the list, and a user manually triggers Enterprise Mode, IE can be configured to send a notification to a URL. The URL writes to a log, and this data can be used to refine additional sites for the EMIE XML list.