  We find the precise range of $(p,q)$ for which local averages along graphs of
a class of two-variable polynomials in $\mathbb{R}^3$ are of restricted weak
type $(p,q)$, given the hypersurfaces have Euclidean surface measure. We derive
these results using non-oscillatory, geometric methods, for a model class of
polynomials bearing a strong connection to the general real-analytic case.
