I know this will work because another guy did it with his Rega and was really happy. The Rega is a pretty light table so you will want to talk with John Hannant at Townshend to get the info on exactly how they made it work with the other guys Rega. I think they either made a thicker shelf for it, or used an extra one, but somehow they added mass and this was the recipe for success.
While you are at it, put some Synergistic Research PHT on it. Get Green Dream and Black Widow, put one of each on the cartridge or headshell. Green Dream is very liquid and deep, Black Beauty is very detailed and dynamic, the combination is to die for!
PHT are really small. Have your wife put them on there, or if you drop one you will never find it! Synergistic has placement info and you can also have her look at my system pics for how I have done mine.
https://systems.audiogon.com/systems/8367
Get a set of ECT, put them on the table as well. These can go on the base of the arm, on the plinth, and on or near the motor. Have her look at my system pics to see where I have put mine. These are just ideas. You will be able to hear each one of these and if you hear a nice improvement leave it, move onto the next one. If you don't hear any improvement, move it. More often than not though you will hear a small but nice improvement with greater detail and image resolution.
These changes will be like a whole new table, but with hardly any learning curve and without any risk of problems like you will have with the dust cover.