Is the work a complicated stitch? I have not inserted a needle in a row to rip out, although it may be a very good technique, it's not one I have done. Your yarn will make things harder, but like you said you don't have anything to lose. I always try to fix things versus start over if it is remotely possible. I usually learn something by the effort even if I fail.
Another thing you can do is to rip out to at least one row above the problem and then reinsert your needle. Don't worry too much about how you get it in the stitches, just get it in so that things don't unravel. And then you can tink one row to straighten things out more, and take out the offending row. Or you can rip out to and including the row in question, put the needle back in any way you can and then knit the first row very carefully, making sure you have both strands (keep a crochet hook handy for helping you with errant stitches) and repositioning the stitches if they are seated the wrong way on the needle (or work into the back of the stitch to straighten it out).
Do this when you are feeling patient, rested and have plenty of light. Good luck.