  We study higher dimensional charged Kerr-Schild (KS) spacetimes that can be
constructed by a KS transformation of a vacuum solution with an arbitrary
cosmological constant, and for which the vector potential is aligned with the
KS vector $\mathbf{k}$. Focusing on the case of an expanding $\mathbf{k}$, we
first characterize the presence of shear as an obstruction to non-null fields
(thereby extending an early no-go result of Myers and Perry). We next obtain
the complete family of shearfree solutions. In the twistfree case, they
coincide with charged Schwarzschild-Tangherlini-like black holes. Solutions
with a twisting $\mathbf{k}$ consist of a four-parameter family of higher
dimensional charged Taub-NUT metrics with a base space of constant holomorphic
sectional curvature. In passing, we identify the configurations for which the
test-field limit gives rise to instances of the KS double copy. Finally, it is
shown that null fields define a branch of twistfree but shearing solutions,
exemplified by the product of a Vaidya-like radiating spacetime with an extra
dimension.
