For twisting every stitch that’s not that many showing through. Tug and poke to get them inside.
Like Jan said, twist less often.
For what you showed I’m not understanding why the color is being carried (except that it’s probably in the round for a hat so we’re told we have to strand). Fair Isle designs usually have more contrasting designs thrown in to avoid long carries.
I would either add more designs or fake in the round for Intarsia if your design stays in one area. For that single vertical row I’m sure you could drop the color and carry it up to the new round just as easy as carrying the strand over all those stitches. Where it gets into a larger block you could figure out a way to turn while avoiding a hole or make a seam for that section.
If you’re in a cold area double knitting makes a very warm hat (probably not much different than all the strands being carried) and you can have isolated color blocks. The opposing color isn’t stranded, it forms another fabric on the inside. You could start double knitting at the top of the ribbing by knitting into the front loop with one color and knitting into the back loop with the other.