You may be correct, that you're using a too-small hook for the weight of the yarn. Especially so if you're looking for a drapey (?) result. Single crochet is a pretty...ah...secure, non-draping stitch; if you'd like the scarf to be more drapey, double crochet (dc) would give you more of the desired effect, but you still need a good combination of hook size and yarn size.
It has worked out really well!! Thanks! I am about done with my scarf and it turned out pretty decent, much more "movable" than my first go at it!
Now that I am getting toward the end, this might seem like a stupid question, but how do I end it? Do I have to "cast off" the hook like in knitting (the different methods for getting the stitches off the needles and finished), or do I just stop at the end of a row and tie it off?