  We outline a coherent strategy for exploring the four remaining narrow
charmonium states [$\eta_{c}^{\prime}(2\slj{1}{1}{0})$,
$h_{c}(1\slj{1}{2}{1})$, $\eta_{c2}(1\slj{1}{3}{2})$, and
$\psi_{2}(1\slj{3}{3}{2})$] expected to lie below charm threshold. Produced in
$B$-meson decays, these levels should be identifiable \textit{now} via striking
radiative transitions among charmonium levels and in exclusive final states of
kaons and pions. Their production and decay rates will provide much needed new
tests for theoretical descriptions of heavy quarkonia.
