If the school requires the CSS Profile for consideration of need based aid, your application will be considered incomplete without it.
If you only complete the FAFSA, you will only be eligible for federally funded aid…and all that is guaranteed is the Pell Grant (sounds like your income is too high for that since you are full pay), and the direct loan.
Work Study is typically awarded to lower income students…and since it is limited per campus, these funds are likely gone.
You can get an off campus job, or maybe even an on campus job that is not funded with work study funds.