My teenage daughter is completing a dress project and needs help with a ruffle hem. I'm posting on her behalf. This is what she said:

I'm a beginner sewist and had a question about finishing the seam on a ruffle hem. I wanted to put a ruffle hem on a dress, so I sewed one to the folded edge of the dress right sides together and then pulled out the basting stitches. But the ruffled seam inside is proving hard to deal with, and I realize I probably should have looked up how to attach it beforehand. I don't have a serger, so I've been trying to find a way to inclose those raw edges. My fabric is a rayon blend so I don't think I can pink it. I don't know if French seams or a receiving tuck would work, maybe they would, but I've already sewed it right sides together, so I would have to unpick everything to do that. I was considering a finishing braid but I'm not sure I can sew straight enough to make the two lines of stitching look straight and neat on the outside, and maybe a layer of bias binding would make the seam too bulky? And I have a similar issue of neatness with just folding the edge and topstitching it down. I've already tried another improvised method of folding down the seam that I've made and sewing that together without topstitching, but it just feels too bulky, doesn't lay flat, and makes the dress kind of poof up in a weird way. 

I was wondering if anyone had suggestions as to how I could finish those seams without a serger. Do you think one of the methods I mentioned would work, or is there some other technique I could use? Or should I just bite the bullet and unpick those stitches and start again with French seams or something similar?

I've attached some pictures of it.

Finishing seam on a ruffle hem