Hi Bulllock2us, You can do anything you want. There is a method called pillow casing that has no binding and you could do a four step binding where each side id sewn on separately and the ends are tucked in. You can fold the backing to the front for a nice finish too.
Be creative as you want. Here is a little tutorial posted from the last swap to help with binding and it really helped me. Maybe you will find it useful too.
http://www.freequiltpatterns.info/vi...trick-lose.htm
Hope you join us.
peace