I suppose you could try a platonic relationship for awhile and see if it helps. You should probably base it on whether it will help you as well as her, and maybe she should have a chance to share her thoughts about it before any decision is made.
I wouldn't try to force anything. The only thing that concerns me is the severity of the ups and downs; if something will level that out a little then it might be a good thing. Are you happy in your relationship with her, the way it currently is? If not, can you name the #1 reason/s why?
Love means never having to say, "Put down that meat cleaver!"