Honestly, I think you may have a problem going into any program that stubborn about your performance. Granted, some schools require less than others, but I have a feeling that you will have to at least learn classical guitar. I'm no guitar player, but an attitude like that may cause a good school to turn you away. I'm not trying to sound conceited or anything, because I suck at my instrument, I'm just letting you know that often performance teachers expect more of you than you think they may initially. You may end up having to do something you don't want to.
That being said, I'm a terrible trumpet player, but performance isn't the main emphasis of the program at my school, but is still important. The school I attend requires 3 (or more) years of lessons in Comp and your primary instrument to recieve you bachelor of music degree. I say 3 or more because you must advance to 340 or Junior level lessons, I currently sit at the 040 (remedial, below college freshman) level, which means I need 4 years of lessons to reach the 340 level and graduate.
All that being said, it is my understanding that admission to our school of music is nearly guaranteed, unless you 1) play the kazoo or 2) just started playing your instrument yesterday. There is an audition, but I think it is merely for placement and/or scholarships.
I don't know where you are coming from, or what you are looking at as far as cost, but if you want anymore information I can get you some. I attend Southern Illinois University, in Carbondale, IL. I take lessons with Frank Stemper. He's been a great teacher so far.