Support is 24/7. Where did you get the idea it was not?
It's true that opening a ticket is slower than chat support.
As with anything WordPress, there are adjustments, testing and tuning required. The fact that your on the managed WordPress plan is good because you should get the help you need with that. Perhaps you choose a plugin that's not compatible with the default configuration of Dreampress?
I don't know the result or answer here, but since it's Dreampress, I'd open a chat with support right away.