I can understand your parents not wanting you to work while you're in school, but it's likely (nearly certain) in any financial aid package you receive that there will an expectation that you earn money during the summer and also work part-time during the school year. It won't matter that your parents don't want you to work.
Of course just because there will be a work component in your aid award, it doesn't mean you *have* to work, but you'll have to figure out where else that portion of your total award budget will come from.
For now, on the CSS Profile you can just put 0 since you don't know and can't predict an amount. Just so you know, though, financial aid awards always assume the student will be contributing something through work. They will have a formula that builds in a certain amount. My son's award, for example, expects him to earn $1800 towards his college costs this summer, and then work around 8 hours per week during the school term. It wouldn't matter if he put 0 down on the Profile, they still expect him to contribute some of his own earnings.
Often, if you can dig up some outside scholarships, the college will credit those amounts toward and loans you would otherwise be expected to take out, or towards the contribution expected from you through working.