bsack,
you have gotten a lot of quality advice from people on this forum, as well as your career adviser, about the value of work experience. I'm sure you are intelligent and I don't doubt the "academic strength of [your] application", but work experience gives you something you can't get in undergrad, no matter how many tests you ace ,papers you write or how high your GPA is. Is it possible to get into grad school without work experience? Of course. Do people do it every year? Of course! If that's what you want, go for it. But a lot of what makes grad school such a fantastic learning experience is your fellow students, their unique life experiences, and how they help create a richer environment in which to study. Speaking as a soon to be grad student, I would much rather have classmates that "have been working at an NGO in Central African Republic for 3 years," than someone who has a high undergraduate GPA.
As others have suggested, check out a stats or econometrics masters or an MBA if you are seriously interested in quant. The MIEF also sounds like an acceptable option. And if you are serious about not putting all of your eggs in one basket try researching job opportunities. Two years may seem like a long time to you, but I guarantee you it will fly by. It could give you some perspective and some experience outside of the ivory tower, which will only make your application stronger.
I wish you the best of luck in whatever you end up doing!