@celavek: 1) to push files to root directory you can push them to a temp directory like /data/local/tmp first and then move them via root-shell.2) if ouya uses standard android bootimage-format you can easily exctract, modify and repack the…
Don't you have root via adb? If not try fastboot or maybe root-exploits.Once you have root modifying ramdisk shouldn't be a problem if the bootloader isn't secured.And you can dump the partitions yourself to get a backup(what you call system-images)…