I'm using a phrase like "We will see if there isn’t a way we can help you with that problem" and I've done this many times before. The (perhaps incorrectly) implied meaning is that I'll exhaust all possible ways that I can help, and not that I'm actively looking for ways to NOT help.
Does this make sense? I've been doing this for years, and presumably I picked this up somewhere, but after a thorough Googling I can't find any reference to it.