Authorize.net configuration for orders outside the US?

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My authorize.net configuration is setup for AVS.  Since AVS is not available outside the US, should I configure it to allow if AVS not supported by bank?

My current Reject settings are
Reject if AVS is not supported by issuing bank
Reject if Address information for cardholder is unavailable.
Reject if Non US Card issuing Bank.

What I have done for outside the US orders it create a special Form that they fill out.  It get the usual information plus their IP address.
Then I manually process the credit card.

Am I loosing sales because I do it this way?  Or is this the safe way?  It's not unusual for me to have a couple of International shipments per month.

Thanks for any advice