Well let me tell you how I scored lessons with Joshua Redman, Grover, and a few others:
I bought their CDs.............
By having their CD I could pick out a song that I wanted to learn, then figure out what they did, and hopefully why they did it. My man Jbroad572 has the right idea. The CDs your student can get of sax players can and will help his playing, because it'll give him ideas and solutions to how to get through certain chord situations. If he's not in to jazz sax players, he can still do the same for gospel.
He can imitate their tone, horn/mouthpiece setup, phrasing, style, lick vocabulary, etc. If he gets DVDs he can try and imitae their embouchure too. Not every student has access to learn from the teachers they'd like to, but everybody can buy a CD. It equals the playing field. I think of it as the next best thing to studying live with that person. But not to hate on sax teachers, but Ive got truckloads of sax CDs, better than the teachers Ive had. Effectively used, recordings are all you need. Not to mention, they dont die like humans, so we can have immortal teachers. Also, if you study one particular musician over and over, you can begin to think like them too. Start with something easy, then progressively increase difficulty as your ear improves. Just keep transcribing. The more you transcribe the better your ear, the better your improvisation, the better your GOSPEL playing.
Extra credit:
If the artist has written books or done interviews, those will usu. give insight to how they when they play too.
Dont underestimate transcribing.
HTH
CSE2