Your scores are excellent.
It is unclear whether your family is unable to contribute, since you are getting results from the NPC that would seem to indicate an income that would afford some contribution by parents. Is the $2k what they are willing to pay versus what they are able to pay?
You don’t necessarily need a college or university with a conservatory or school of music, which would be a BM program (23/-3/4 classes in music). In other words, you can pursue a music major in a BA program (13/-1/4 classes in music) or you can even major in something else and take lessons, and perform in extracurriculars.
Many many schools, including liberal arts colleges, would have courses in jazz and popular music but in a liberal arts college, they would often not be as performance-focused. So applied music would, as I said, be extracurricular and also involve lessons. There are exceptions, and some classes like “history of jazz” might also have some performance aspects.
We have no idea what level of talent and experience you bring to the applications. If you apply to a BM program, there would be auditions for admission. If you apply for a BA program usually there is no audition for admission but you audition for ensembles in the fall of freshman year. If you have talent, you can submit a supplement with a recording, music resume and letters of recommendation from music teachers/directors, if you like.
Questbridge is a great program and can help you with admission to some great schools.
Applying to ASU is a good idea. It offers a BM in jazz performance as well as a BA in music.
For BM’s in jazz or popular music it seems people on here apply to Berklee, NYU, USC, Belmont, Miami Frost, Loyola New Orleans, UC Denver, New School, a few others. But these are not the best financial options unless you get a large merit award. SUNY Purchase in NY is a good option and is relatively affordable.
The liberal arts colleges mentioned above that do have BM’s include Oberlin and Lawrence; Ithaca, Hartt, College of Wooster, Bard and many others also have BM’s. If you choose to do a BA in music instead of a BM, it is sometimes better to be on a campus without a BM program because the BM students sometimes get the best teachers and opportunities.
It would seem you best bet, honestly is a liberal arts college that does NOT have a BM program , through Questbridge- or a state university. If your EFC is low then you should do well with Questbridge, if you get in.
I suggest you read the Double Degree Dilemma essay that is posted closer to the top of this forum. It is about the different ways to study music.
For liberal arts schools, the Colleges that Change Lives is also a resource for ideas.
Good luck!