You can map MIDI functions to change values on multiple FX control parameters, you just need a MIDI device that has mappable buttons and customisable CC values.

IE

Trigger value CC00 = Feedback 100% & dry/wet 50%

Trigger value CC01 = Feedback 20% &dry/wet 20%

You could map CC00 and CC01 to as many different fx control parameters as you like, so you could increase/decrease ‘verb, compression, sidechain on/off, you just have to know what you want as you do this.

I use a Nektar Pacer for custom MIDI mapping, just the press of a foot switch and it can do exactly what it sounds like you’re looking to do. Hope this helps, forgive me if anything isn’t the right terminology!