  In this work, we delve into the model of the shift symmetric and
parity-preserving Beyond Horndeski theory in all its generality. We present an
explicit algorithm to extract static and spherically symmetric black holes with
primary scalar charge adhering to the conservation of the Noether current
emanating from the shift symmetry. We show that when the functionals $G_2$ and
$G_4$ of the theory are linearly dependent, analytic homogeneous black-hole
solutions exist, which can become regular by virtue of the primary charge
contribution. Such geometries can easily enjoy the preservation of the Weak
Energy Conditions, elevating them into healthier compact objects than most
hairy black holes in modified theories of gravity. Finally, we revisit the
concept of disformal transformations as a solution-generating mechanism and
discuss the case of generic $G_2$ and $G_4$ functionals.
