Not submitting an SAT score won’t be a disadvantage. Your record will be read in the context of your high school, so not having AP science shouldn’t count against you either.
You’re overestimating your chances, though. In not submitting an SAT score, the other pieces of the pie each become more important. By not submitting AP scores either, the criteria narrows even further. Suddenly the decision to take AB vs. BC could get more scrutiny than it otherwise would have, because that’s what they have to go by. Of course you have a lot of positive data points in your favor, but they’re expecting that from most of their applicants.
Admissions officers can “read between the lines”… They don’t know whether or not you had a chance to sit for the ACT/SAT, but they DO know you at least had a chance to sit for all seven AP exams. So they wonder: why didn’t you include scores? Were they bad? Or did you not take advantage of at least some of the opportunities that were presented to you? AP scores in themselves are not the biggest share of the decision pie, but when you are stacked up against tens of thousands of applicants who did submit, the decision not to submit AP scores makes its own statement.