George wrote:
really? im pretty sure the cups will have a solid bottom so this wouldn't work, unless i'm missing something here
nope, my bad - I immediately jumped to threaded studs.
heat and pliers - pliers or channel locks without teeth - and / or regular pliers with something (rubber, cloth or leather) to insulate the chrome
or if you're really worried about marring the chrome or finish, what might work are plastic or lead screw anchors - screwing the screw in compresses the liner against the wall for a grip - wiggle and pull screw out with pliers.
the anchors come in packages of whatever, so if you can't find the perfect diameter, you can build it up inside with pieces of a second anchor.
I've seen tools with a cam grip for inside diameters, but even if you could find them, they'd be prohibitively expensive for the purpose.