If your rich (since money isnt a factor) take as many LSAT prep courses as you can for about 2k a pop. A high LSAT and GPA will get you into a great school - probably top 20 based on the limited information in your post. Study www.lsac.org
for entering class profiles to gage yourself. You don't need a scholarship, you just need to be admitted.
Your major will not hurt you. It will probably help you, as colleges are looking for diversity in their undergrad majors. Humanities or legal studies majors aren't going to make you stand out.
As far as studying patent law, us news and reports has rankings for specific law programs you might want to check out.