Technically, it's damping that controls the bounciness. As these guys said, you should be able to tune that out by going firmer.

Also, I think the spring rates are reversed. They are measured here in pounds per inch, and a bigger number normally goes where there is more weight. These cars are nose-heavy, so the front should have a higher rate.
My autocross car (not an HHR) had 224 in front, 194 in rear, for example.

 

I try to set all 4 corners to firm. If its better, case closed. If not I'll replace the rear springs with a different type of spring. My wife doesn't want to ride along anymore, drives her crazy

 

So that’s your secret!! Stiffen up the ride!!

 

Recommendations on rear lowering springs (just in case) ? Struts in front are fine, I really think the promblem is in the rear section

 

BC coilovers ARE stiff. A lot of people complained about it. That is why i went with kw1. Ride is almost the same as factory and you still can adjust the ride height.