If you have a Visual Studio subscription (or old MSDN access), the full VS2010 ISO contains the same compilers. Extract the \VC\ folder and \Microsoft SDKs\ to copy the toolset manually.
choco install vcredist-all choco install windows-sdk-7.1 -y --ia "/quiet /norestart"
To strip out unnecessary components (SQL, Silverlight, .NET SDKs): Use an (Response file). Create v100_deploy.xml :