  The pentaquark $P_c^+(4450)$ recently discovered by LHCb has been interpreted
as a bound state of $\Psi(2S)$ and nucleon. The charmonium-nucleon interaction
which provides the binding mechanism is given, in the heavy quark limit, in
terms of charmonium chromoelectric polarizabilities and densities of the
nucleon energy-momentum tensor (EMT). In this work we show in model-independent
way, by exploring general properties of the effective interaction, that
$\Psi(2S)$ can form bound states with nucleon and $\Delta$. Using the Skyrme
model to evaluate the effective interaction in the large-$N_c$ limit and
estimate $1/N_c$ corrections, we confirm the results from prior work which were
based on a different effective model (chiral quark soliton model). This shows
that the interpretation of $P_c^+(4450)$ is remarkably robust and weakly
dependent on the details of the effective theories for the nucleon EMT. We
explore the formalism further and present robust predictions of isospin
$\frac32$ bound states of $\Psi(2S)$ and $\Delta$ with masses around $4.5\,{\rm
GeV}$ and widths around $70\,{\rm MeV}$. The approach also predicts broader
resonances in the $\Psi(2S)$-$\Delta$ channel at $4.9\,{\rm GeV}$ with widths
of the order of $150\,{\rm MeV}$. We discuss in which reactions these new
isospin $\frac 32$ pentaquarks with hidden charm can be observed.
