1) the Raised floor doesn't HAVE to mean all those nasty things... just put it around the pier and out to around 4-5" in from the circumference of your dome wall... float it (a wood decking probably is most cost effective) on "footers" that are hard rubber, and then top those off with pucks of a material known as "Sorbothane"...
It is a special type of rubberized material that turns vibrations into heat... I've used it for years underneath vibration sensitive components in my high-end audio system (especially the record player)... it is especially effective at higher frequencies (which are the only ones that are going get transmitted through THAT much concrete!)
I'm afraid that only isolating your pier on 3 sides isn't going to prevent the "ringing" from propagating through the remaining 4th side... and "ringing" is what you're seeing (basically)...
The lower frequencies are quite well damped by MASS (of which you have a tons - pardon the pun)...
While not super cheap, sorbothane WILL work wonders...
Alternatively, instead of doing the ENTIRE floor, just do a platform around the immediate vicinity, and then isolate anything with fans/motors/moving parts on individual Sorbothane pucks...