Today many people think of a ground system when they thing of Ju-Jitsu because of the proliferation of the Brazilian systems. Look into some of the more traditional style Ju-Jitsue. One stye Ive been very please with is Yoshitsune which has both a traditional Japanese system and a modernized combat system. A system like this is more technique driving and less sports driven and may offer exactly what you're looking for. As one of the other posters stated, there will be great variation in instructors and that can only be judged out by you.