FinAid | Calculators | Expected Family Contribution (EFC) and Financial Aid
run the numbers. If your school uses the CSS profile, use the institutional method. Be advised that some of the schools on that list may use your info different than that formula (and they may have their own FA form too). I honestly don't know how they will look at a low salary and 'alot' of money saved.
also, just because the Parents contribution may be zero, the student will probably still be expected to contribute from summer earnings and/or work study jobs
if you do end up with a zero efc, you will be getting max Pell grants. But beyond the schools on that list, not every school guarantees to meet full need