Parallel Processing
Through parallel processing, you can keep the beauty of the original sound you have, but add one or more Effect Layers on top of it. This is similar to the Dry/Wet parameter of an effect, but the original sound still passes though, and you have full control over the effect (Volume, EQ, etc.).
To do this in Ableton, we're going to use the Audio Effect Rack with chains:
Or select one or more effects and press Cmd + G to group them, this will automatically create an Audio Effect Rack with one chain, so you can just easily create a new one for the dry signal:
Notice that I took control of the Delay & Drum Buss through the Volume in the rack itself as well as the EQ Eight at the end to only pass the frequencies I wanted from the effect.
Relevant Note(s): Composition Effects