It seems like it will get a lot confusing with several email accounts getting the same messages @IHateForms unless the accounts are just view only? I personally could not imagine getting an alert each time a email came in that required nothing of me? I am wondering if Creating a Shared Mailbox might work better in your situation?
I don't know specifically if you can use Gmail addresses to access a shared mailbox on another domain? Check out What is a Shared Mailbox and see if that fits your need? I hope that helps?
roy darling *my posts seem a lot shorter in my head