Oh, I just saw you were wanting to do a king size. The one I showed is only a twin. In this case, size does matter.
Something you can do to determine if you want to tackle this project, is to take an old king size sheet and load it onto your machine (don't thread the machine). Place the sheet in so that the needle is approximently 16 inches from the corner of the sheet, then lower the needle just to hold the fabric in place, but leave your pressure foot up. At this point the fabric to the right of the needle will be the minimum amount that will ever be there. Now turn the fabric 90 degrees (don't sew, just turn), notice how much fabric is now under the throat of your machine? Turn it again another 90 degrees, and then turn one last time.
After doing this excersize, you'll know which method you would rather use.