Yes, I believe the simplest way is two create a new Logger and its own LogFactory to resolve it. Its pretty easy to implement the ILog and the ILogFactory interfaces.
Your new logger can be a thin wrapper of the combined EventLogger and Console Logger.
Take a look at
src/ServiceStack.Logging.EventLog/EventLogFactory.cs src/ServiceStack.Interfaces/Logging/Support/Logging/ConsoleLogger.cs
The Console logger is in the main ServiceStack project and the EventLogger is in the ServiceStack.Logging project.