Meanwhile I found a solution that comes pretty close to the intended effect. First I didn't see it, because it's "hidden" exclusively in the stereo section of the Pitch/Synth effect list. As user who mainly goes by 4CM directly into an amp, I am used to the mono part only ...
All I had to do, is opening a second signal line with output XLR from which cables run directly into the mixer. In this line there are just 2 effects: Pitch/Synth - 3 OSC Synth and a compressor. I had to fool around a bit with the OSC settings but now I got a real fat sound by doubling the guitar strumming with a kinda syntheziser sound. Cool!
I would have marked this question as answered, but could not find the option, how to do this ...