Never spam a company, I agree. If you're going to "circumvent", pick one or two (and honestly, even 2 is pushing it) contacts you know the most and email them. And make sure they are at least related to the department you're going into unless it's an director/executive person (I'm not much more effective in getting someone a sales role as you would be going to the online portal). Anymore than that and you won't be seen any differently from a spam caller.
The goal is to personalize, not spray and pray all at one company.