Sounds like OP wants to accumulate some $$.
FAFSA attempts to give a uniform financial statement to the schools. The schools take this information, GPA, recommendations, SAT/ACT, male/female/minority/athletics/special skills/legacy/department/physical plant/stuff, and mixes it all together to get a counter package ($$) to the student.
We were 100% FAFSA, full pay. Ours got full tuition at one school, 50% at another, 14%, and 0%. Son took one and never looked back. Money was his in an UGMA that we funded early. All schools are premium list priced schools and practically had the same pricing.