How do you display table headers that are wider than the rest of the column?

How do you display table headers that are wider than the rest of the column?

I have a table with lots of columns, which only contain a short values,
but have long headings. I think this table would fit width-wise on a
single (landscape) page, if I could get the headings sit on alternating
rows, with the ends overlapping.
How can I achieve this?
(I've tried writing two header rows, with half the column names in one row
and half in another, using \multicolumn, but I can't get them to then
align neatly with the columns.)
\documentclass[]{article}
\usepackage{booktabs}
\begin{document}
\begin{tabular}{ccc}
\toprule
Lengthy words which & make my columns too wide like &
antidisestablishmentarianism\\
\midrule
1 & 0 & 0\\
3 & 7 & 5\\
\bottomrule
\end{tabular}
\end{document}
Or, alternatively, is Big table with rotated column labels using booktabs
the preferred layout for tables with long headings? I am reluctant to use
it, because there are enough rows that the headers will need to be
repeated on multiple pages already; making them taller will exacerbate
this problem.