You can rent our Bullmastiff, Diesel, for a day (see my system page). He'll take care of your cat problems for sure. If you live outside of the Pacific Northwest then I bet there'd be some willing dog-owners in your own region.
The duct tape idea is great, but for better holding power go to a photography or cinema supply shop and as for Gaffer's Tape instead. Lill' precious won't doesn't stand a chance with Gaffer's!
Wil'E'Coyote might suggest an(Acme Brand) anvil placed strategicly atop the edge of each speaker. A spatula may come in handy there too.
Marco