I wouldn't go to just one amp/modeler. Because things tend to get static once you do.
Of course some degree of consistency is good, but I find that whenever I've used modelers extensively, I slowly but surely gravitate to making them sound nicer and nicer until some day I realize they don't really sound like real amps any more.
Now, I do all my recording and all my PA sound needs with a Boss GX-100 coupled with a separate cab modeler. It's great. Can't get as good sounds on recordings by miking amps, and live on stage there's nothing that rivals that XLR modeled out.
BUT as a personal monitor I like a tube amp. I now have a Marshall origin 20H modded to pretty much JCM800 spec and sound, and a 4x10" Marshall cab. It's vet portable, looks great on stage and sounds effing amazing - true classic tube Marshall.
What I do I have the Boss as my FX box and it's divided to two 'sides'. One has the basic effects, EQ, that's it, and feeds into the Marshall. The Boss also handles channel swithcing or boost on amps. But it's pretty much straight to the amp, just add some pedals in front as need be.
The other side has a Marshall model and a cab model and quite different EQ's, several of them really, and then it goes out to another cab emulator and I can get a stereo signal or mono signal to PA - and these sounds I've built to sound as much the same as the real thing as possible. That's what I also hear from my stage monitor some, but standing in front of the amp I still get that tube punch and feel, and feedback etc.
Kind of best of both worlds. I also havea Victory V30 Mk2 head, and a 1x12" so I can mix and match, and it doesn't really matter what cab or head I use, I can have slightly different presets in the Boss to make them all sound the same.
But the bottom line is...hearing that real amp as well allows me to 'keep it real' and not go on editing the modeled side too unnatural etc.
I really like the setup. Think I'm gonna keep using this for a long time indeed.