It's strange the MWPHGLofTN does not have a functioning lodge locator on their web site. Maybe it's a temporary problem on my end.
Generally in person is the way to go. Please do contact the GL office. Please do call and/or email your local lodge before showing up. But a lot of lodges aren't good at responding to paper mail, phone or email. Don't wait on a response. Once you've introduced yourself by those contact methods knock on the physical door. Shake hands in person.
On the door is a listing of when lodge meets. Show up about an hour before the meeting. Introduce yourself and ask how to become a Mason. Get a building tour, meet the members, maybe have a snack with them. Put it on your calendar to show up then every month from here on. It may take 2-4 times before you are given a signed petition.