The shipping costs will be recalculated when we are checking out and the same will be charged on your a/c (the displayed charge is only an estimate). Since there was a fault i could find out in their inventory details, i checked it with the CC and they confirmed that nothing else will be charged than the checked out amount. Thats why i got a Branded PJ screen at a very good price (difference of 5-6K min on compared with the price in the market).
I dont think they will give a quotation without the customs duty. If you are planning to ship to some US address, why are you trying a 3rd party from India, why cant you try amazon or similar sites directly. Moreover it will be cheaper than this, since the items displayed in this site are from amazon and similar online stores (with the same item code), for more info. check my earlier post in the 2nd / 3rd page.