Well, I don't believe that there is a Continental FAQ, and I'm not exactly sure what you mean regarding the search function.
However, I can help you with your first question. You referred to the letter/number sequence as a "flight profile". I believe the term you are looking for is known as the "fare buckets". They represent the number of seats available in each bucket. I'm not positive, but I believe that the following letters are all of CO's buckets:
A,D,F,R,Y,H,K,B,V,Q,S,T,U,I,N,E,W,G (whew!)
Most FTers here used to work with a website, seatmap.com, for pulling up flights. However, it has since closed and most of us now use itn.com. In order to view the fare buckets for a flight, you need to register and set your skill level to "Expert" (or its equivalent). Then you can search for flights and the various buckets will show (although not all, such as the infamous R).
Hope this helps.
[This message has been edited by Cory6188 (edited Jan 25, 2004).]