Full-page figure without extraneous whitespace in text?

Question

My question is along the lines of How do I ensure that figures appear in the section they're associated with?, but slightly different. I have a figure that occupies a full page. By default, LaTeX wants it to go on the very last page of the document. The previous question was answered with Rob Hyndman's suggestion of using a \FloatBarrier from the placeins package to demand that it appears before the start of a section. But if I do that, I get a pattern like this:

page (n-1): Section S of text ends halfway down the page.

page n: Full-page figure.

page (n+1): Section S+1 begins at the top of the page.

This is arguably better than having the figure at the end of the document, but it isn't the behavior I want. What I really want is the full-page figure in the middle, but Section S+1 beginning on page (n-1), so that the text flows normally from page (n-1) to page (n+1), with a page in the middle for the figure. Is there an easy way to achieve this?

The code looks something like this (\FIGURE comes from the JHEP3 class supplied by the Journal of High-Energy Physics, but I don't think this is sensitive to details of that file).

\FIGURE[!p]{
\begin{tabular}{cc}
\includegraphics[scale=0.5]{curve1.pdf}&
\includegraphics[scale=0.5]{curve2.pdf}\\
\includegraphics[scale=0.5]{curve3.pdf}&
\includegraphics[scale=0.5]{curve4.pdf}\\
\includegraphics[scale=0.5]{curve5.pdf}&\includegraphics[scale=0.5]{curve6.pdf}\\
\includegraphics[scale=0.5]{curve7.pdf}&\includegraphics[scale=0.5]{curve8.pdf}
\caption{Curves for case A (left), case B (right)}
\end{tabular}
\label{fig: constraints}}

Answer 1

The afterpage package might be useful here:

\usepackage{afterpage}
...
\section{S+1}
\afterpage{\clearpage}
% or \afterpage{\FloatBarrier}