After you compile the binaries and bundle them into your .tar.gz files stored in the /app folder.

WARNING: DO NOT log out of your 'heroku bash' shell-- doing so would return the files you just waited 20 minutes to compile back into the ephemeral-filesystem ether!

Instead, to potentially assist anyone else from going through what I just went through (phew!), I documented my bash script solution to implement 's3-bash' in order to whisk those files out to Amazon S3 immediately.