I'm also running a Frankenstein's Monster drivetrain: 105 shifters, Deore XT rear, Deore (XT? can't recall at the moment) 11-48 cassette. To make things even dicier, I'm using a Wolftooth Roadlink to fit that cassette. When I first set up this drivetrain, it worked flawlessly (shockingly :D). I share that context as empathy for your shifting woes, and I apologize in advance if the following is obvious/already been tried.
Quite suddenly, rear shifter started exhibiting the exact behavior your describe; I suspect someone messed with my barrel adjuster as a prank because all of my riding group suddenly had shifting issues after that bar stop. I couldn't get the shifting solid again until I loosened the pinch bolt and performed the cable pull adjustment as if it was first install. And with my sketchy setup, I have to follow the steps very strictly.
This Park Tools video (https://www.youtube.com/watch?v=UkZxPIZ1ngY) will be old hat for you, but I include it for anyone else trying to dial in their rear derailleur.