>I have seen the mess heavy cookware creates on those glass top cooktops - old style coils seems to be best for those.

I have successfully removed the cast-iron crud from a glass-ceramic cooktop using a paste of 91% rubbing alcohol and baking soda. You can speed up the process by scraping with the back of a knife a few times first. Overall, it's not slower than cleaning the grease traps on a coil stove.