I got that you weren't talking about seat deposits, I just figured that "accepting the scholarship" often/usually means "paying the seat deposit", so I threw them in together. But I didn't think about the government stuff, so my post was probably less helpful than I imagined.
In a situation like that, I'd call the financial aid office at both schools in contention (if that's the case) and ask, hypothetically, what the policy was. I'm sure you're not the only person with a similar case, and there are probably school and gov't rules to deal with that happening.
BTW, what school hasn't finished Early apps by now?! That's ridiculous...