What do you mean by finding the range? do you mean finding it by only having the public key?
I can tell you right now that there is a way to find k if the range is known, and I'm giving it for free as I find new things, but finding the range, don't think so.
It works like this:
If you tell me there is a treasure inside a lake in asia, I can find it eventually, but if you tell me there is a treasure inside the milky way galaxy? I rather not to look for it.