Sort of along the same lines as napnap's suggestion, DD decided not to go for BFA dance programs, but instead, looked at colleges that held great interest for her and had good dancing opportunities attached. In the end, she has deferred college for two years to dance with a regional company as a trainee. However, she researched these colleges over the summer, contacted their ballet faculty in the early fall, and visited them over the Thanksgiving week to take a class with them. In her junior year she connected with two BFA programs - one big, well known one as well as a smaller one. She spent a week in February doing an audition tour with 4 companies (in a blizzard pretty much the entire week!), with about 2 additional flights out to take company class in additional cities. Oh, and one of the faculty at the college she took class at arranged for her to take a company class at the end of winter break in January. Because she knew her priority was getting a company affiliated position, she chose to direct her time and our budget towards those types of auditions. I honestly don't think we could have done more than this, even if money was no object. Senior year at traditional high school is a challenge in itself, and time is definitely a consideration for the student.
Yes, it is definitely much harder for the DK! Like you, my older non-DK applied to 10, but my dd applied to far fewer. She did look at the BFA programs (and visited one in person) there but didn't feel they appealed to her. She ended up getting about 4 college acceptances, but she ended up not applying to others on her list due to receiving an early acceptance from her top choice. I think she probably had about 8 on her list in total. As far as I can remember, her friends who were going the BFA college route probably attended about 2 or 3 auditions, but that's an impression rather than a cold fact. I realize this doesn't help much since you are looking at BFA programs right now. However, perhaps it helps give an idea of timing. As I said, I felt that this was the absolute limit that my dd could accomplish that year, given her time, our budget and location (the latter two variables may present different options for you).