I don’t think it’s possible. We also sell Internationally but only accept cheques from our local Country due to the Currency conversion.
From a book keeping point of view:
If you sell to your local Country and they pay $100 in x currency (for your Country) and then if a Customer from another Country writes a cheque for $100 in THEIR currency you aren’t going to balance book keeping wise. The exchange rate differs day to day and it can’t balance.
Plus you’d have to pay extra bank charges for banking international cheques. The Customer would have to get a special bank cheque in your currency to make it worthwhile for you which would cost them a significant amount.
The bank charges for banking international cheques can be quite high. In Australia it’s a $25 fee.
For that same reason we tell international Customers that they can’t pay by bank transfer as it costs us $25AUD for the cost of it. We ask that international Customers pay by PayPal or Credit Card.
Sorry, this doesn’t answer your question but it’s something to consider.