I tried to tell myself that the stitches look close enough, but I know they're not.
Here's how turning makes your piece look. Notice the ridges on the surface.
At that point, the only alternative way I could find is not to turn and just crochet with your other hand (left in my case) every other row. I tried, believe me, I tried, but my left hand just wasn't cooperating.
Today, I stumbled upon a video on flat tapestry crochet, and long and behold, there is a way that doesn't involve me trying to be ambidextrous.
Meet single crochet in reverse.
All you have to do is that for the rows where you're working with the wrong side of the piece facing you, you insert the hook into the stitch from back to front, instead of the usual way.
Here's a demo from Toni Rexroat from CrochetMe:
And this is how your piece will look like (left), compared to the original (right):
|Hurray! The stitches look the same on the right side.|