Well, I would contact an admissions office. Depending on the illness you may get a pretty good break. Your LSAT is amazing, but I think your are definitely out of Tier 1. However as a splitter, who knows? If you show improvement after that semester and it clearly was a fluke you may be ok. Have you already graduated and declared your degree. If not I would try some good ole' grade forgiveness, my school allowed to make up 2 classes. If you already have graduated, I would shotgun it and apply everywhere. Even some Tier 4's. I would pick your top schools and make it an objective to go and sit and talk with the Assistant Dean of Admissions, go to events, etc. They say that stuff doesn't matter but it definitely couldn't hurt.