Ubuntu Packaging - How to package a QT GUI binary along side a console binary as one AppImage?

Question

I have made a Qt GUI c++ application that is a wrapper around a console binary. The Qt application guide the user into creating some data, feed that data to the console binary and display the result.

I need to deploy the application and console binaries to an Ubuntu 18.04 without internet access and the application need to be a double-click with icon executable. The end-user won't be computer savvy.

I have gathered that an AppImage should do the trick. However, there are restrictions I don't know how to overcome:

1. I am not authorised to integrate the console binary in the source code of the wrapper app. They will stay as two separate binaries.
2. It is my first deployment ever and most tutorial/forum discussion on AppImage assume knowledge I don't have about installation on Linux.

I'm able to create an AppImage of the wrapper application alone with linuxdeployqt. (even if the resulting AppImage doesn't respect the font-familly of the original binary)

./linuxdeployqt-continuous-x86_64.AppImage ./WarpperApp-v0.8/usr/share/applications/WarpperApp.desktop -appimage

I tried to simply add the console binary in the /usr/bin of the directory needed to build the wrapper app AppImage with linuxdeployqt.

./linuxdeployqt-continuous-x86_64.AppImage ./WarpperApp-v0.9/usr/share/applications/WarpperApp.desktop -appimage

However, the libraries of the console binary aren't loaded in and even if it did, I don't know what would be the new path to call the console binary. I use the C++ function system( "path/to/console/binary path/to/data") in order to make the call.