I hate pins on bindings, I "baste" mine with skinny strips of heat and bond lite or wonder under to hold it exactly where I want it to be before I machine stitch the edge. This works well no matter what side you are bringing the binding over. If you have machine basted around the perimiter( I stitch just shy or a scant 1/4 inch) as long as the strip of heat and bond ( lite) is less than you will not have it showing on the quilt.
Once I have fused the binding into place temporarily , I can just fly around the edge with the machine.