I'd freeze the dough (in little ball shaped pieces that are just the right amount to roll out for your naan bread of the future), wrap up in cling film and then bag up in a polythene bag. When you want to have naan breads, just take out the number you need, let them defrost and get back to room temperature, then roll out to shape. Cover with a damp tea towel to stop them drying out before baking. I usually use plain yoghurt, yeast, white flour, salt and a little sugar in my naan bread dough - what ingredients did you use ?
PS It's really not worth the bother of making your own poppadoms - the packet variety are so easy to prepare. I just brush both sides with a little olive oil and place on a piece of kitchen paper, then pop it into the microwave for about 20 seconds - it's great fun watching them expand and puff up. Also, they aren't greasy like the deep fried or ready cooked ones.