If you live in Zone 6, which I think you do, then you should have no trouble wintering over Asiatics outside in pots, provided they have proper drainage and get protection from early spring freeze-thaw cycles. To accomplish this, dig a hole a little larger than the pot (or a trench if more than one pot). Place pot ON IT'S SIDE in the hole and cover forming a mound on top with the extra soil. You won't even need to mulch; your bulbs will be just fine
Another way (since these are Asiatic) is to store the pots in an outdoor UNHEATED garage or shed. The soil will become quite dry but that's ok for the most part. You may add a little water in mid January. And then watch closely for growth starting in early March because things will start warming up pretty fast inside an outdoor shed in March. If you move the pots back outside in March, keep them upright but cover the top with a board to prevent the pot from becoming flooded with rain water and to minimize the affects of any freeze-thaw cycles.