You are framing the question wrongly in your mind, that's why you didn't figure it out yet :)
What you need is a new backup profile with its Backup Type set to "Main Site Database (.sql file)". You can use the Exclude Database Tables if you want to only backup a few tables, i.e. exclude those you don't want to backup.
Now go to Component, Akeeba Backup and select the new backup profile from the drop-down list. Then click on Scheduling Information to get the command line you need to run it through CRON. Take this and create a new CRON job. That's it!
Regarding an off site storage vendor, I prefer Amazon S3. It's cheap, it's fast, it's reliable and there are so many third party tools supporting it which opens up a world of possibilities.
Nicholas K. Dionysopoulos
Lead Developer and Director
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