Use mksquashfs
to create a compressed image from a directory. Depending on how compressible the files are you could put on much more than 4.7 GB on a single disc.
mksquashfs /path/to/my/directory image.sqfs
You can use a different compression algorithm with e.g. -comp zstd
or append multiple times to one archive to fill it up to almost the allowable size.