  We consider a general choice of integration constants in the resolution of
the dynamical equations derived from a recently proposed effective model that
describes black hole spacetimes in the context of loop quantum cosmology. The
interest of our analysis is twofold. On the one hand, it allows for a study of
the entire space of solutions of the model, which is absent in the literature
and is fundamental for understanding the relation with any underlying quantum
theory. On the other hand, choices of integration constants that generalize the
type of solutions considered so far may lead to exotic behaviors in the
effective black hole geometry, as well as modified thermodynamical properties.
With these motivations in mind, we discuss the interior and exterior
geometries, and present the conditions that a satisfactory matching at the
horizons imposes. Then, we turn our attention to the Hawking temperature
associated with the black horizon of the model, which we find to be affected by
the freedom of choice of integration constants. Finally, we briefly comment on
the asymptotic structure of the general solution and compare different notions
of mass.
