Here is the FAFSA estimator discussed above, so you can get a realistic idea of your EFC. https://fafsa.ed.gov/FAFSA/app/f4cForm?execution=e1s1
At colleges that claim to meet full need (usually the most selective ones, and the women’s colleges listed above) they will cover everything except that EFC (actually they will use their own methodoloy so the number may be a little different, but it’s good as a ballpark.)
They may give you the entire amount in grants, or they may expect you to take out the subsidized federal student loans and do some minimal work-study. The federal loans are not the scary private loans you hear about. You probably won’t be more than $20-$30k in debt when you graduate, which is a manageable amount.