As another who has practiced law for 20+ years and can attest to the changes in the legal market, I did get a scholarship that covered about 90% of my tuition at a T50 school. I was in Texas, and at that time the market was quite regional. But if you were top 10-15% you could reasonably expect BigLaw offers. But at the time it was like top half of a T14 school for the same prospects. Now many more people from out of state come to practice here (due to the law firms that pay associates in all offices the same salary and low cost of living here) and it is much more competitive now. If you want to do “international business law” you are probably looking at having to put in 5 years in a big firm before you have the option to move in house.
I went to a tiny school I have never heard mentioned here (though I was NMF and turned down full tuition to Tulane and other schools) and did very well. I did well on the LSAT. I went to the decent law school that was cheapest at the time, when law school tuition was running $20K, and is now $80K for the same school.
This is all to say that doing really well in undergrad is more important than where you go to school. Also, having an idea of where you want to practice can open up additional opportunities and you should consider the in-state schools for that market.