  We apply the algebraic Bethe ansatz developed in our previous paper \cite{CM}
to three different families of U(1) integrable vertex models with arbitrary $N$
bond states. These statistical mechanics systems are based on the higher spin
representations of the quantum group $U_q[SU(2)]$ for both generic and
non-generic values of $q$ as well as on the non-compact discrete representation
of the $SL(2,{\cal R})$ algebra. We present for all these models the explicit
expressions for both the on-shell and the off-shell properties associated to
the respective transfer matrices eigenvalue problems. The amplitudes governing
the vectors not parallel to the Bethe states are shown to factorize in terms of
elementary building blocks functions. The results for the non-compact
$SL(2,{\cal R})$ model are argued to be derived from those obtained for the
compact systems by taking suitable $N \to \infty$ limits. This permits us to
study the properties of the non-compact $SL(2,{\cal R})$ model starting from
systems with finite degrees of freedom.
