Personally, I suggest having everything in your shop in your native currency.
My Etsy shop is all in UK GBP (my native currency), however people over seas see my listing in their native currency as I ship world wide. All payments go to my bank account in GBP as I accept all types of payment along side PayPal. When I print out invoices it shows what the customer paid in their currency, but the money on my part of the paper work is in GBP. This makes things much more straight forward from a tax point of view as well.
Like you I can accept USD to my PayPal account, but it mostly just sits there!
Love pkw xxx