  We study magnetic and multiferroic behavior in Ca$_3$Co$_{2-x}$Mn$_{x}$O$_6$
($x \sim$0.97) by high-field measurements of magnetization ($M$),
magnetostriction ($L$($H$)/$L$), electric polarization ($P$), and
magnetocaloric effect. This study also gives insight into the zero and low
magnetic field magnetic structure and magnetoelectric coupling mechanisms. We
measured $M$ and $\Delta$$L$/$L$ up to pulsed magnetic fields of 92 T, and
determined the saturation moment and field. On the controversial topic of the
spin states of Co$^{2+}$ and Mn$^{4+}$ ions, we find evidence for $S$ = 3/2
spins for both ions with no magnetic field-induced spin-state crossovers. Our
data also indicate that Mn$^{4+}$ spins are quasi-isotropic and develop
components in the $ab$-plane in applied magnetic fields of 10 T. These spins
cant until saturation at 85 T whereas the Ising Co$^{2+}$ spins saturate by 25
T. Furthermore, our results imply that mechanism for suppression of electric
polarization with magnetic fields near 10 T is flopping of the Mn$^{4+}$ spins
into the $ab$-plane, indicating that appropriate models must include the
coexistence of Ising and quasi-isotropic spins.
