Unfortunately, you're probably stuck with what you have.
The plug-ins to which you refer are pretty good at taking care of shakiness, but this isn't shaking. If you run your footage through one of these plug-ins, the "steadied" version of it is still going to look pretty crappy because in essense, what has resulted is "movement blur." Of course, movement blur is a naturally occurring phenomena that happens all the time and the human eye is very accustomed to it ~ when it occurs naturally. But this isn't like naturally occuring movement blur. Each time that bass drum made the camera vibrate, the images in the picture came out with blurriness around their edges, and there simply is no way to fix it.