How's this for simplicity?:
\NewCoffin \stats
\SetVerticalCoffin \stats {\textheight}{%
\centering
\begin{tabular}{etc}
...
\end{tabular}
\captionof{table}{Statistical data, as collected and delivered}
\label{tab:stats}
}
\clearpage
\RotateCoffin \stats {90}
\noindent\TypesetCoffin \stats [t,r](0pt,\onelineskip)