Should I transfer? Trinity University?

I am an international student in my second year at trinity university.I know that trinity is a good school but my problem is that I want to go to an Ivy league Law school and from what I know and what I have heard I think that students in ivy league law schools are usually those that graduate from other Ivy leagues or really really good schools such as uni of chicago etc. So, I was wondering if I should transfer at the end of my sopre year to a maybe higher ranked school so as to improve my chance of an Ivy league admission. I dont really know my GPA but I'm sure it must be 3.6 or higher and I have already started doing LSAT practice tests and I'm sure I can score upto 175 on it. I don't like to brag but I am academically quite talented. I didn't do so well in high school only because I didn't want to back then. I just started preparing for my SAT 5 days before the exam and ended up getting a fairly good score of 2010. I was accepted to UCLA and UT austin but couldn't go because of financial constraints. I love trinity v.v.much, not just because they gave me the FA and the opportunity to study in America but also because I really love it here. I am very thankful to trinity for the help they provided but I do not want to take any chance that might jeopardize my future. Now my transfer options are UT austin, U of virginia, U of Michigan, UCLA etc(UT austin is preferable because I am now a texas resident and therefore would qualify for resident tuition). Any help and opinions on whether I should do this or not will be greatly appreciated.