Good idea Silver!!! :D And I could give the mobius hat to the son I call the screwball.
I did decide not to start over... my idea worked (kinda, sorta - the stamp of the beginner is on it). I undid the last stitch, twisted it and put the stitch back on as best I could and continued. The result looks like an upside-down U about 1/2" on what will be the back of the hat. I might try to fill it in somehow, or I might just leave it to remind me of my errant ways.
I'm off on vacation so will be checking on some new (for me) yarn shops. I better be a perfect knitter while I'm gone because I won't have y'all to come to my rescue. In other words, expect many desperate posts from when when I get back.