Hello,
They don't allow phone calls or recruiters, which is fine--so I went ahead and researched who I would be reporting to/who would be my hiring manager, and applied using the email given. I never heard back-- not even a generic bounce back email saying that they received my email. Never assuming the worst, I checked my junk mail folder, checked back often, and nothing. Eventually LinkedIn updated the job post saying that it was no longer available. :(
I'm big on communication and respect for peoples time no matter what. Hoping it was just a glitch and the job just wasn't meant to be-- because it would really be unfortunate for such a wonderful company to have such a crappy hiring practice.
Thanks!