ok, i thought you had common joists running perpendicular to the tie beam.....
the timberlinx would be stronger, in my opinion, I'm not crazy about a three way join at this spot in this frame(neither are you, if I read your post correctly), I would think you do need good strength above the tie beam connection for high wind loads and for raising the frame...would it be possible to move the floor beam in from the wall a bit(at least 6" from the inside face of the post)?? There are probably several solutions...