I"ve never had that happen - but if it were me, yes, I'd frog back the row.
It sounds like you think you should pull the needles out and unravel the yarn, then pick up the stitches. I would definitely NOT recommend that! Just knit backwards around the row and unknit each stitch. It takes longer while you are doing it, but you won't have to pick up all the loops around the whole row so in the long run it is much faster.
Just take your time.