Innovative - I have one correction from my last post, I mentioned if you go through Method you would get 500 emails per day, this is not true. Method users actually only get 500 emails total from Method, as we are bound to the same issues as the rest of our Customers.
You could also consider using a 3rd party service like SendGrip, this would allow you to still send emails through Method/Listbuilder, but by going through their service, you would be offered a much larder limit per day for emails being sent out. You can take a look at our Help Center Article here, this explains bulk emails through Method with some detail.
-Ben