I'm in the same application cycle, so an evaluation from me would mean little to nothing, but Tufnel's advice sounds golden to me. But I did want to comment on a couple of things.
First thing, I'm also presenting at a well-known conference in April...is the same conference? Is it in San Diego? I'm all curious.
Second thing, Fulbright=100% worth it. I'm doing one right now, and it, more than anything, has allowed me to really solidify my career goals, research interests, and generally gain a multitude of valuable and wonderful experiences and skills. So, if you do get into some awesome programs, see which ones you might be able to defer, but reach for that Fulbright. My two cents anyway. Wish you the best of luck with everything!