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I ended up ranked 2nd in my class at a borderline TT/TTT. Currently I have a 45% scholarship. I emailed the financial aid office earlier in the year to see what the policy was regarding increased scholarships for students who perform well the first year. Their response simply stated "There's no increase method in place." There are three other schools in the market, a T20, a similarly ranked school, and a TTTT. However, I am a PT student, and going full time is not an option. That eliminates the T20 and similarly ranked school as transfer options. The TTTT does have a PT program, but I have no desire to go there, even for a full ride. How can I honesty/tactfully ask for more money, when in reality I have no intention of leaving the school if they don't increase my scholarship?

You should have applied to other schools. Then you could have bargained.
It probably is not too late- apply a few steps up.

Just ask in a staightforward, yet polite, manner. The good news is that your current scholarship should be safe, and your job prospects as strong as any at your current school.

P.S. There are outside scholarships available to upper level law students. With your stellar record, you should be able to get additional scholarship money from outside sources. Ask your dean and/or profs for recommendations.