Thanks all for the comments. I'm headed back to the tire shop in a couple of hours with hopes that they can do just what you've suggested - either locate marks on the tire, which I wasn't aware of until suggested by Del, or rotate the tires to reduce the need for wheel weights. At a minimum, they should be able to locate the weights on the inside. I'm hoping I don't have to send the rims back for paint touchup after all this. We'll see how bad they look when it's all done.
Late '57 Giulietta Spider Normale