Job prospects are very similar. There might be a slight advantage to BLS, but that truly is slight.
That being said, the economy is going to change in 3 years, and the legal profession even more so. We're likely to see law firms go away from the current Cravath model (in fact, many already are), and this makes it a bit hard to predict how things will change over those 3 years.
As Baby has said above, look at the conditions of your scholarship. If it requires you to be in the top 25-35%, I'd be very cautious about taking it. If it's 50%, it's acceptable. If it's unconditional, great. You really have no idea how you're going to do in law school until you're there.