The Zerostat is imo somewhat tricky to use (if you squeeze the trigger too rapidly, it "clicks"). I long ago found a better static eliminator---the Nagaoka Kilavolt No. 103---but it is long out of production, and rarely seen for sale.
If you don’t mind spending a little money, there is a great one now available---the Furutech Destat III. It’s the best anti-static device I’ve owned and used. Good on CD’s, too!
I’ve always hated felt mats, and though Linn insists theirs is essential to the Sondek’s complete design, I see no reason for that deck to be unique in that regard. I would consider trying the Herbies mat and/or slaw’s. Both are very reasonably priced, and I believe offered with a money-back guarantee.