I have uploaded QupZilla_1.7.0_(Qt5)Portable07_08_2014 (37 MiB) to my dropbox. It includes Qt5, therefore “portable”.
I just remembered, that there are some config issue with this QupZilla. Maybe it’s the same for your version as well and that plays a part with your font problem. You may wanna try that first:
I start QupZilla with this script:
#!/bin/sh
cd "$(dirname "$(readlink -f "$0")")"
QT_PLUGIN_PATH="$(dirname "$(readlink -f "$0")")"/qtplugins ./qupzilla
And I have created a link from /boot/home/config/settings/Qt/.config/qupzilla to /boot/home/.config/qupzilla.
I can’t remember exactly what the issue was, but i think without the script (and link) the paths revealed from QupZillas “Help| Configuration Information” shows bogus paths.
Edited to add: The above script has to be placed alongside the QupZilla binary. You can create a link to that script on the Desktop, for example.