Aah, turntables. Finally a subject of which I am not a luddite (unlike surround, but I'm learning). Brand new records will often be a bit clicky because many pressing plants no longer "dehorn" the stampers, believing that the process also removes actual musical info (though this is somewhat controversial). At any rate, if a new album sounds "clicky" on the first play, give it a half dozen or so plays (not all in one day) before you record it. This will often clean it up significantly.
If I may, I would NEVER use the NR in Audacity. It absolutely removes musical info. I recommend a program called "Click Repair".
http://www.clickrepair.net/software_download/ It is inexpensive and even has a 30 day audition so you can decide if you like it or not. It is NOT NR but rather an automated pencil tool. I've used dozens of programs for this purpose and this is the only one I like. Plus, it is written and sold by a hobbyist like us, not a corporation.
Record cleaning also helps, but it is a HUGE subject that has been covered in many venues. I'll just tell you that I use this solution and love it.
https://squeakycleanvinyl.com/ I wrote a review of it on AK (post #49, sorry the pics got nuked in the Photobucket debacle).
http://audiokarma.org/forums/index.php?threads/100-usd-record-cleaning-machine-by-canfab3d.673269/page-3
I didn't read all of this, but if you never found an isolation solution, I used a pair of simple "L" shelf brackets (preferably mounted to studs). I attached a piece of heavy butcher block and put rubber grommets between all contact points. I have probably $60 in the project and the kids and I can dance on our wooden floors with no issue. If you get any feedback from the sub, take the dustcover off when playing records. Those pieces of acrylic tend to act like guitar sound boards, amplifying any vibration that hits them. Cheap, common sense solutions, I'm all about that.