I was at my in-laws house asking for some advice on quilting issue and had brought a few to show off (because I'm really still in kindergarten). I usually make a pieced back because I'm cheap ... And the nonquilters we're oohing as much over the back as the front. Just made.one.for.a.cousin that's going out to the longarm lady today/tomorrow. Pieced with voile (a very silky cotton) that I'm calling "La Vie Boheme"
So yeah - piece that back.
And then after quilting, see if the trimming creates enough for your binding.
"Use it up, wear it out. Make it do or do without."