This solution is my best guess for what you're talking about. Still I did need to make so assumptions. But perhaps I'm off base.
I start of by presuming you know the dimensions of the page that you will be printing to. If you don't know even that much,.... well, you need to give us more of a helping hand to understand what you're doing.
Each of the following images were created using the same environment. I've loaded the geometry
package with showframe
so you can see how the entire page is filled more easily.



This is the code I used to create the above pages.
\documentclass{article}
\usepackage[showframe,margin=0.5in]{geometry}
\usepackage{graphicx}
\usepackage{mwe}
\newsavebox\aebox
\newenvironment{captionedpicture}[2][5in]
{\def\mypic{#2}%%
\begin{lrbox}\aebox
\begin{minipage}[b]{#1}
\raggedright}
{\end{minipage}%%
\end{lrbox}%%
\noindent\begin{minipage}[t]{\columnwidth}
\hspace*{\fill}%%
\includegraphics[height=\dimexpr\textheight-\ht\aebox-2ex]{\mypic}%%
\hspace*{\fill}%%
\par\addvspace{1ex}%%
\hspace*{\fill}\usebox{\aebox}\hspace*{\fill}
\end{minipage}}
\pagestyle{empty}
\begin{document}
\begin{captionedpicture}{example-image-10x16}
{\LARGE\centering A HUGE CAPTION\par}
ARMA virumque cano, Troiae qui primus ab oris
Italiam, fato profugus, Laviniaque venit
litora, multum ille et terris iactatus et alto
vi superum saevae memorem Iunonis ob iram;
multa quoque et bello passus, dum conderet urbem,
inferretque deos Latio, genus unde Latinum,
Albanique patres, atque altae moenia Romae.
Musa, mihi causas memora, quo numine laeso,
quidve dolens, regina deum tot volvere casus
insignem pietate virum, tot adire labores
impulerit. Tantaene animis caelestibus irae?
Urbs antiqua fuit, Tyrii tenuere coloni,
Karthago, Italiam contra Tiberinaque longe
ostia, dives opum studiisque asperrima belli;
quam Iuno fertur terris magis omnibus unam
posthabita coluisse Samo; hic illius arma,
hic currus fuit; hoc regnum dea gentibus esse,
si qua fata sinant, iam tum tenditque fovetque.
Progeniem sed enim Troiano a sanguine duci
audierat, Tyrias olim quae verteret arces;
hinc populum late regem belloque superbum
venturum excidio Libyae: sic volvere Parcas.
Id metuens, veterisque memor Saturnia belli,
prima quod ad Troiam pro caris gesserat Argis---
necdum etiam causae irarum saevique dolores
exciderant animo: manet alta mente repostum
iudicium Paridis spretaeque iniuria formae,
et genus invisum, et rapti Ganymedis honores.
His accensa super, iactatos aequore toto
Troas, reliquias Danaum atque immitis Achilli,
arcebat longe Latio, multosque per annos
errabant, acti fatis, maria omnia circum.
Tantae molis erat Romanam condere gentem!
Vix e conspectu Siculae telluris in altum
vela dabant laeti, et spumas salis aere ruebant,
cum Iuno, aeternum servans sub pectore volnus,
haec secum: 'Mene incepto desistere victam,
nec posse Italia Teucrorum avertere regem?
Quippe vetor fatis. Pallasne exurere classem
Argivom atque ipsos potuit submergere ponto,
unius ob noxam et furias Aiacis Oilei?
Ipsa, Iovis rapidum iaculata e nubibus ignem,
disiecitque rates evertitque aequora ventis,
illum expirantem transfixo pectore flammas
turbine corripuit scopuloque infixit acuto.
Ast ego, quae divom incedo regina, Iovisque
et soror et coniunx, una cum gente tot annos
bella gero! Et quisquam numen Iunonis adoret
praeterea, aut supplex aris imponet honorem?'
\end{captionedpicture}%%
\clearpage
\begin{captionedpicture}{example-image-10x16}
{\LARGE\centering A modest caption\par}
ARMA virumque cano, Troiae qui primus ab oris
Italiam, fato profugus, Laviniaque venit
litora, multum ille et terris iactatus et alto
vi superum saevae memorem Iunonis ob iram;
multa quoque et bello passus, dum conderet urbem,
inferretque deos Latio, genus unde Latinum,
Albanique patres, atque altae moenia Romae.
Musa, mihi causas memora, quo numine laeso,
quidve dolens, regina deum tot volvere casus
insignem pietate virum, tot adire labores
impulerit. Tantaene animis caelestibus irae?
\end{captionedpicture}%%
\clearpage
\begin{captionedpicture}{example-image-10x16}
{\LARGE\centering A one liner\par}
\end{captionedpicture}%%
\end{document}
\textheight
? – samcarter_is_at_topanswers.xyz Oct 5 '18 at 19:56includegraphics
is my current MWE (give or take a\document
). I do indeed mean\textheight
(and\textwidth
) – Alec Oct 5 '18 at 19:59