Is there a way to mock a system process standard out?

I would like to mock out the "Process" class used to call another exe. I have everything mocked out except for the stdout and stderrout. The output is piped to standard out  by hooking up a listener to outputDataReceived event. Is there any way to mock this so that the mock can send data to std out/raise that event?

Using VS2015 and typemock 8.6.0.0

Thanks!