| You have a huge gap, meaning that your scholarship will not reduce any of your financial aid in any way. There is still a bunch of room left for scholarship money before it reduces your grants, so apply for as many as you can!
Take your cost of attendance & subtract your EFC. Then subtract all grants (Pell, etc) & scholarships. Subtract your subsidized loan & that leaves the amount you have to play with before your aid is affected in any way (the amount you could fill with scholarships & not affect your eligibility for aid). Most schools will reduce your subsidized loans before they will touch your grants (if you were to be lucky enough to get a ton of scholarships!). Even then, you would still be eligible for an unsubsidized loan of up to $3500. | 
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