Well ... you can kiss cast-iron bye-bye ... too heavy.
You need something light (aluminum) with a flat bottom ... forget anything reversible - you will need one for a "double burner" grill pan - and another for a "double burner" griddle - if you want both functions. Just make sure they are rated for ceramic stove tops. Assuming that a double-burner size is what you need.
You can also use an electric reversible grill/griddle - like this
Ceramic cook-tops have their advantages ... and they have their disadvantages.