Sewing Triumphs and Trepidations

Over the last couple of years, I have slowly been teaching myself to sew.  My skills are improving but I still have lots to learn.  Most of my projects involve straight lines :)  This week, I did something slightly more advanced and made my daughter a dress using this pattern from See Kate Sew.  Her blog is awesome and has lots of easy to follow projects.

The dress turned out really well.  I used a remnant that I found at Joanns and just love the pattern.  Can't you tell how excited my girl is to be wearing it?  She started laughing last week but still loves to make angry face at the camera.

Also at Joanns, I found some really fun sailboat printed fabric.  I thought it would make a beautiful top so I found a pattern and bought the fabric.  I'm a little terrified of it though.  Sewing with sheer fabric scares me and this pattern is the most complicated one I've tried yet.

I'm planning on making the left, middle top and I could use some advice on it.  The pattern requires bias tape for the edges.  I think normal bias tape would look odd.  Is there something else I can use or should I just try to hem the edges? Any thoughts?