I would ask a fairy to iron the backing and top right before I make the quilt sandwich. I have to really make myself do that....and the quilt top is really already ironed, just like to give it one more ironing before pining it all together.
Ironing blocks and pieces as I go, that is okay. It's the big won't-stay-on-the-it-ironing-board process that I don't like....and I do have a big top on my ironing board!
I just plain don't like this step.

But I always get through it, and it really never takes as long as I think it will.
Dina