To add to Fury96's list of ways to qualify. You can also attend an "AT LARGE" qualifier. This are divided into regional tournaments for the region your local ASA association is a part of. The country is broken into several regions for this purpose. There are still a few "open" qualifiers that would be for any team that enters not just Tennessee or Georgia but for "whatever" state to enter. There are several options for these. Last year one was held in Tenn, Ohio, Florida, North Carolina. There are others but they require much more travel time.
All of these options are listed on ASA web site... there are even a couple more ways to get to Nationals but it would take too long to explain. You can read all this on ASA web site.
HTH's