Different S2S name than internal domain name with Active Directory?

Our AD domain is a “local” domain so it uses the format domain.local instead of domain.net. However, for Server 2 Server connections it would have to point to the external name of domain.net. Is there a way to configure WildFire so it will receive messages sent to username@domain.net even though Active Directory has them as username@domain.local?

I have all the S2S permissions set appropriately, but no messages for our users come through from the outside.

Thanks,

David