Ralph, "we couldn't use the screws that hold the platter to the motor unless we drilled holes in the platter pad".
What about something like rubber cement that makes a bond but can be peeled away? Rubber cement itself may not be best, I don't know how effective that would be between rubber and metal?
More importantly, how many other mats are glued down? I'm not aware of aftermarket options, but then I never looked for this consideration.