How does one go about watching TNA weekly *legally* if they don’t get AXS?
AXS TV is on DirecTV Stream, Philo and Sling TV if you don't have cable. But if you don't care for those, then there's Impact Insiders on YouTube where if you want to watch the weekly shows then it's a $1 a month, however, if you want to see the weekly shows and the monthly specials then it's $5 a month. If you go the YouTube route, it'll be commercial free, but it'll start 30 minutes behind.
There's also TNA+, but the new episodes won't appear until the airing is done on TV.