Welcome to FT googles.
Couple of questions.
Are USA visas an issue? What is it about TAM's program you don't like? Do you want lounges/upgrades/awards or something else (or all of the above)? Are the four company marketed flights a problem with AA/IB/BA?
You fly enough to qualify in almost any program so it really is a question of which matches your objectives the best.
Happy wandering
Fred