Zen Knitting

A simple single crochet around the edge will help even the edges and keep the scarf from looking wonky. I think a fringe in the same color, on each end, would look great.
You can do a border in knit, but it is a pain, since you would need to pick up stitches all around the edges, a complicated undertaking.
You might also consider doing a simple blanket stitch for a cute country look.

If the edges need additional finishing, crochet is probably the faster method of finishing the edges.

A knitting method you might want to consider is the applied I-cord edging. I-cord is done on either two double-pointed needles or a circular needle, and the cord comes out looking like the laces we used to make with a Knitting Knobby as kids. You can make a lace of I-cord for, say, ties to a hat, but you can also knit it onto the edge (*apply* it) of a piece of knitted fabric for a finished edge.

Here is one way to do it, taken from Nona Knits (http://nonaknits.typepad.com/nonaknits/2005/05/applied_icords_.html):

“To work the applied i-cord you’ll need either circular needles or double pointed needles. With right side facing:

1. Cast on 3 stitches
2. Slide the stitches to the other side of the needle
3. Knit 2 stitches and slip the 3rd stitch purl-wise
4. Pick up 1 stitch from the edge of your knit fabric
5. Slip the slipped stitch up and over the picked up stitch
6. Slip the 3 stitches purl-wise from the right needle back to the left needle.
7. Repeat steps 3 – 6 along the edge of your knit fabric.”

There are several videos on YouTube, including this one: http://www.youtube.com/watch?v=mBzXYQU4bgg&feature=related. You might want to view some of the others as well.