  We consider the problem of whether, for a given virtually torsionfree
discrete group $\Gamma$, there exists a cocompact proper topological
$\Gamma$-manifold, which is equivariantly homotopy equivalent to the
classifying space for proper actions. This problem is related to Nielsen
Realization. We will make the assumption that the expected manifold model has a
zero-dimensional singular set. Then we solve the problem in the case, for
instance, that $\Gamma$ contains a normal torsionfree subgroup $\pi$ such that
$\pi$ is hyperbolic and $\pi$ is the fundamental group of an aspherical closed
manifold of dimension greater or equal to five and $\Gamma/\pi$ is a finite
cyclic group of odd order.
