With your parameters it will have to be LH M&M I am afraid. There are very few programs that still have LT status and most will then require to fly their own metal for LT status (e.g. all NA programs). If you think you can get M&M Sen status then that's probably your best bet. 1300 miles - but how many segments is that? Every other week so 25x a year. If that is 100 segments then no problem. Will be a long road to LT status - better also book some l/h flights

Oh and the TAP program is terrible. OZ is going away, so that's not an option. You'll quickly run out of options.