Q: Wheel weights hit brakes and vibrations develop

Due to how the brakes were placed on my car (this model), I’ve been told that there is a problem and difficulty in correctly adding wheel weights which keep the tires properly balanced. I had purchased new tires and the shop re-balanced them when I learned this information. Now I am having to “frequently” have the tires re-balanced or else a vibration develops. If not placed in the proper position, as the wheel weights go around they will hit the brakes. This is a not only annoying, but very expensive and time consuming to have to continually have the tires re-balanced. Do you know of any solutions for this problem?