I don't know how hard or easy Kempers and the like are to use, because I function more like you do. So I have a couple single channel amps for my base tone and a ten pedal board that, along with my two main guitars, covers all my gigs and playing situations like jazz cocktail hours, blues jams, 80's/90's covers, and roots/country. I don't do hard rock or metal; I do a lot of covers, but they are not tributes to the point of authentic recreations of album tones and effects for every song. Rather, I've got a chorus pedal that covers The Police/Cure, Pink Floyd, John Scofield, and jazz/blues organ sounds. But the OP seems to be saying he needs that next level of authenticity...so to me if that's the case, rather than have some huge rig of amps and a giant pedalboard, just get a Kemper (or whatever modeller suits you) plus maybe a few choice pedals and be able to sculpt those exact tones as presets for your live set. Added bonus of having easy options for going direct, using IEM's, silent stages etc.. Those types of gigs are not my world, but if they were and it was my living I would go full modelling personally.