OP: My honest, well-intentioned advice is that you transfer. It's true that with initiative and networking savvy you can still make a solid career for yourself after attending a lower-ranked school, and there are a lot of assholes on this board who put way too much stock in tiers and prestige as determined by a decaying newsweekly. But in this particular case, I think you're in the wrong place at the wrong time. Thomas Jefferson has gotten some very, very bad press lately, and it's entirely realistic to suppose that might hurt your employment prospects. It's one of a few schools that's been selected (fairly or not, I really have no idea) as a poster child for the law school scam movement. Whether they should or not, people do pay attention to that sort of thing, and it can hold you back. You sound hardworking and genuinely dedicated to a career in law. You don't want your school's poor reputation to overshadow that.
P.S. I say this as someone who's transferring from a T1 to a TTTT, so I'm not just being a snob.