Hi there... I posted my solution, which I'll repeat below, then add some additional comments...
On the knit side, when I come to the knit stitch that was wrapped, I (a) lift the wrap onto my left needle, (b) pass the wrap over the knit stitch, then (c) knit the two (wrap & stitch) through the back loop.
On the knit side, when I come back around to the stitch that had been wrapped on the purl side, it's a little more fussy, but the same concept. I (a) take my left needle and pick up the wrap (lifting from the bottom up), (b) using my right needle, I gently coax the knit stitch off the left needle and through the wrap, (c) then I place that knit stitch onto the left needle, keeping it to the right of the wrap (which is now on the left needle), (d) knit those two (wrap & stitch) together.
Manipulating the purl wrapped stitch on the knit side is very fussy, but after trying a lot of different techniques, I have found that this way hides the gap better, especially after some gentle blocking.
At the time, I was making a bunch of cowls for my knitting posse and wanted a clean way to close that gap. After making 2 cowls in stockinette, I decided to change the pattern to include a bunch of yarn-overs and K2togs which, fortunately, mask any potential gapping problems. If you go to Ravelry (username Megpie) and look at my cowl projects, you can see some of them, plus some socks I made using the same technique.
So, I sort of figured out how to make it not look terrible, but then I also sidestepped the whole issue by changing the pattern. :-)