  We have presented previously a general treatment of Starobinsky-like
inflation in no-scale supergravity where the tensor-to-scalar ratio $r = 3(1 -
n_s)^2$, and $n_s$ is the tilt of the scalar perturbations. In particular, we
have shown how this scenario can be unified with modulus fixing, supersymmetry
breaking and a small cosmological constant. In this paper we extend these
constructions to inflationary models based on generalized no-scale structures.
In particular, we consider alternative values of the curvature parameter,
$\alpha < 1$, as may occur if not all the complex K\"ahler moduli contribute to
driving inflation, as well as $\alpha > 1$, as may occur if complex structure
moduli also contribute to driving inflation. In all cases, we combine these
$\alpha$-Starobinsky inflation models with supersymmetry breaking and a
present-day cosmological constant, allowing for additional contributions to the
vacuum energy from stages of gauge symmetry breaking.
