If you want fewer seams use the LOG. Some people say the bias is best because stitching hides better in the cross grain. I use all three ways depending on how much material I have. You state there is not enough fabric either way; well, how about making a scrap bindind from left over pieces of the quilt top. I love to do this. If you could post a pic you might get other suggestions. It usually takes about 3/4 - 1 yd to finish ( a few bucks if you need more fabric) a full/queen size quilt. How big is your quilt? Lots of ideas to reject here.
EDIT: I mis- read your post. You do have enough for either way. Please ignore me !
peace