Active nihilism is not about finding meaning in objects created by others or transcendent ideas of any kind, but creating (and projecting) your own. It is Nietzsche's concept of the Übermensch. If there is one word to characterize active nihilism, it is "Destruction". The tearing down of old symbols, morals and ideas imposed upon the individual by the collective. In some of Nietzsche's writings, Christianity plays the adversarial, collective role.
On the other hand and contrary to what you claim Viktor Frankl writes (I have not read his book), Stoicism (and Buddhism) are really forms of passive nihilism, Buddhism of course being the stronger of the two. If there is one word to characterize passive nihilism, it is "Acceptance".
Active nihilism is much more beneficial and relates to stoicism. It holds that you must find your meaning, which is really what everyone does anyway, whether through a super natural being or friends, family, or one's life work (read Man's Search for Meaning by Victor Frankl. The best book I've ever read that relates these ideas as a holocust survivor).