Lining Wool Question

What material should I use to line a fabric made of 70% wool 30% nylon? It is a medium weight. I will be using this to make a wrap 3/4 circle skirt and fitted top with a front zipper closure. I want something durable (I will be moving in it a lot) that will handle sweat or cold and will breathe. It does not need to be slippery. I would prefer little to no stretch to help the wool shell keep its shape/prevent warping. Thank you!!!