For sure, the seven traditional forms would not go well with a lightwhip, it's a complete re-work of the weapon the styles were designed after.
As for dual-blades and staff, I imagine that some styles would work while others wouldn't. Form 7 has been attributed to users of dual and staff sabers, but I don't know how well say form 3 would perform with a staff. Keep in mind however that much of the style specifics is an unknown, so technical questions like yours can only be answered with some estimates and guesswork.
As far as I know, it is generally accepted that most lightsaber forms work with single lightsabers and double-edged lightsabers (such as Maul's). However, dual lightsaber combat falls under the jurisdiction of Jar'Kai, and lightwhips haven't really been factored into the equation in regards to forms. I assume it's got its own set of rules there, as Man of Christ suggests. At least one, anyways.