Just to be clear, not all schools do financial aid pre-reads for recruited athletes. Obviously ask, and have all your ducks in a row for the NCP ready to go…many schools will require attestation from a third party about the situation.
I agree with those who said to be up front with the coach…A) what the budget is, B) that an NCP waiver will be necessary to reach said budget and C) that you are going to apply elsewhere that will be highly likely to be in budget (not as an athlete.)
Note that for some schools and/or some coaches, these conditions could be enough to preclude them from recruiting your kid.