Congratulations on your achievements.
Rice is a reach for all, and more so for an international student.
Have you run Rice’s net price calculator? Does it show that you would be full pay? Students can take out $27K max in loans over the 4 years of undergrad ($5.5K the first year). Any loans needed beyond that would be on your parents, either directly or as a co-signer.
Make sure you have a balanced college list, including at least one affordable safety school that you would be happy to attend. The admissions process will be more difficult for you as an international student.