Oracle.DataAccess 4.112.2.0 comes with the 11.2.0.2 Oracle Client.
You can download the full Oracle Client with the installer from http://support.oracle.com (patch number 10098816, zip 4of7). You need a valid support subscription on your customer support identifier to do this, but this shouldnt be a problem, since you have already managed to get the 11.2.0.3 full client.
Alternatively, you can download ODAC 11.2.0.2(.1), which is a public download, and also contains the required dependencies (no graphical installer though, just a batch file). http://www.oracle.com/technetwork/database/windows/downloads/index-090165.html