Since your supplier is shipping from the USA, you must both tell your buyers the origin of their purchase.
The US location,not your own.
Otherwise they will be getting charged duty and tax on their purchases, on the doorstep. Unexpectedly. They will not be happy and your feedback will suffer.
Ask your supplier what service he is using.
List on eBaydotCOM as suggested. Since the purchase will travel from the USA by USPS, you will be able to use Calculated Shipping there.