I've done crossings at 430 where we crossed EVERY track, so it would have been near impossible to correctly align with one of the tracks accurately. That's why I went to just flight planning along the nearest track, whenever possible. I do load the nearest tracks in the FMS, just to be ready.
I will say, the diverts I have done, door issues and an engine failure were a non-event. In all cases, Gander or Shanwick handled it with ease once they worked out our position and request.