You can schedule post processing to happen during the night, that should help. Or schedule it when you're guaranteed to be not watching anything.
The action dropbox has a pause and resume post processing option in there. Schedule it to pause when you get home from work or are more likely to be watching a film and then restart when you're usually in bed.
Is this the download scheduler or is there a separate post proc scheduler? Ideally I'd like things to download when they become available then process overnight.
Sounds like a good plan though.