  We propose a simple statistical model of three-dimensionally anisotropic,
intermittent, strong Alfv\'enic turbulence, incorporating both critical balance
and dynamic alignment. Our model is based on log-Poisson statistics for
Elsasser-field increments along the magnetic field. We predict the scalings of
Elsasser-field conditional two-point structure functions with point separations
in all three directions in a coordinate system locally aligned with the
direction of the magnetic field and of the fluctuating fields and obtain good
agreement with numerical simulations. We also derive a scaling of the parallel
coherence scale of the fluctuations, $l_\parallel \propto \lambda^{1/2}$, where
$\lambda$ is the perpendicular scale. This is indeed observed for the bulk of
the fluctuations in numerical simulations.
