Congrats on your success SwampRat! I was in largely the same position last year - after 1st semester, had a 3.8. You are correct that you are probably somewhere in the top 5 people. Take what you learned this semester and improve on it next semester - everyone will be doing that. Go over your exams when you get back to school, especially the A- ones, and see if you can adjust anything to improve for second semester. 2nd semester I got a 3.95 and ended up top 1% and transferred to C/N. I'll try to give some advice and give u the frame work for what you should consider.
First, if you're going to stay at your school, you absolutely need to be on LR and get that scholarship increased. I was open with my school and talked with several professors, including the Dean and people in student services. My TT had a blanket 10K scholarship for top 10%, so they wouldn't increase my scholarship beyond that. Try to be very tactful and say that you are considering all your options, and see what advice they might have. Most of the people at my TT said if I got into C/N, they would say congrats and encourage me to go. Which I did, and they did.
Second, given your rank, you should aim higher than GTown, and I don't recommend applying EA. I was so excited about my grades and eager to transfer, that I applied early - but luckily got deferred. You should be aiming at T10 and T6, and if you get accepted to GTown early, they make you pay a deposit of $1k to hold your seat.
RE: UChicago ED, a friend of mine at the same TT with a similar GPA applied and was rejected outright. It's a very difficult school to get into as a transfer because they take so few students. I would recommend you apply to all the biggest programs in the T10. CNMPB. If you can up your GPA second semester and land the #1 spot, apply at Harvard.
TLDR - keep up the good work, don't ease up cos you're only halfway there, and you have a good chance at Harvard, Columbia, or NYU!
PS - if you want better advice regarding career prospects and your chances at biglaw, you should be more specific about your TT and its location/market.