I've had the interesting experience of just finishing Ajahn Brahm's book, "Mindfulness, Bliss and Beyond" and Bhikku Bodhi's lengthy introduction
to chapter nine of "In the Buddha's Words". For both, though, the concept of anatta is tightly intertwined with NIbbana.
Ajahn Brahm makes clear that 1) Physical death after attainment of Nibbana is the end. Period. and 2) the cessation of Nibbana is not to be feared because there is no atta, "I", "self" or whatever that ceases. He also makes the very interesting statement repeatedly that attainment of jhana is necessary
for most everyone to realize for themselves
the truth of anatta. It certainly has me motivated. Beliefs are easy to come by, realization is tough.
Bhikku Bodhi, on the other hand, certainly mirrored many of the things that Ajahn Brahm has stated and it is certainly easy to see how Ajahn Brahm drew his conclusions. However, Bhikku Bodhi has just left open a few tantalizing hints that Nibbana may transcend the whole discussion by leading to a "state" where none of the yardsticks we use even apply, "Freed from reckoning in terms of the five aggregates, the Tathagata transcends our understanding."
Disclaimer: With less than a year's practice behind me, I certainly have no preference for one or the other nor do I see any need to set one against or above the other. I've derived great benefit from both and have nowhere near enough wisdom to even know if they agree or disagree!