Slowing down marksmen, is it an option?

So with everyone on the boards scaling out for the blood of nearly every ADC I decided to think about what could be a first stop in balancing them out. My thought is this.

Can we just remove all mobility from marksmen in the bottom lane? For example, I play almost exclusively Ashe and can tell you that she's pretty average. She does damage, it she isn't over bearing. She's useful, but not broken. So would it be possible to do split up marksmen and ADCs? For example, if you have no mobility, you are altered some and you go bot. If you have mobility, your damage can be toned down but you go somewhere else. That way bottom can go from champions like Lucian and Twitch, to champions like Ashe, Kog and Sivir. Marksmen with mobility can be reworked and sent mid, jungle, or maybe top kind of like Teemo is. That way the identity of an ADC can be more clear. Immobile, high damage, and bot lane. Would that be an option or no?