The first thing you need to do is adjust the input gain - a lot of soft synths/drum modules run too hot.
Many compressors have make up gain which can be turned down.
The quad EQ is one module that benefits from an empty FXchain to compensate. It is also better with EQ to cut, rather than boost, so if you're having to boost a lot, it's worth re-recording or re-working the source material anyway.
Gain staging does seem to be especially important with the Console Emulator. It can seem to exacerbate the effect.
Also, the trim and drive knobs on the console emulator do not work as they may at first appear. According to Overloud, their developer, the Console Emulator emulates the summing characteristics of a console. The drive controls how much of the signal goes into saturation, and the trim knob affects how much the emulator effect is applied to the sound. So the trim does not act like the input trim on a desk, and shouldn't be used to gain stage.