I decided when shopping for the amplification side of my guitar rig, to buy a multi-fx pedal that included amp simulations, and a PA amp that adds minimal distortion or colour.

This means that I can create settings on the pedal that sound nice, and play through the PA amp, or a hi-fi, a venue PA, a computer's audio input etc.

However, sometimes in rehearsal rooms, the amplification available to me is a "real" guitar amp, and I find the interactions between the distortion added by the pedal, and that added by the amp, to be unpredictable. I try to use the amp's clean channel, but it's not a complete solution.

What is the best approach to making these components play nicely together?