Using Hummingbird without Crashing My Site

So, I will admit that I am not smart enough to figure this out. I have been looking forward to your Hummingbird plugin - almost as if it were nirvana of page speed. I build a lot of client sites on The7 theme. They are usually bloated with various plugins to achieve the end result. As a result, I need all the benefits I can garner from Hummingbird. I run into real trouble trying to fix Render Blocking JS / CSS and Compression, etc. It just destroys my site. The issues I have with this site are the same on all my sites.

So my question to you is if you can help me figure out the best way to use this on this site and I can take this lesson and use it on other sites?

Thank you
Ben