Howdy Cliff! Welcome to the forum.
First off, you can go to the CMP website and register to get a Competition Number. This is free and open to anyone. They will also have a list of local CMP matches that you can attend. Most are open and do not require you to be a member of the club (for instance, I shoot in a match every month at KRGC in Kalamazoo, MI; although I am not a member there). When you select a match, call them and inquire. Go here to get your CMP number:
(You need to Login to view media files and links) . Also, you can shoot your sporter in most local matchs, although it will not count for CMP score. You are correct in that you must have an "As-Issued" Krag to shoot at Camp Perry. If you do attend, you are more than welcome to shoot with me and my friends - Always room for more!
CMP matches are always shot at 200 yards (or 100 yards using a 200 yard SR-Simulated Range target). Camp Perry is always 200 yards. The course of fire is 5 rounds sight-in in any position; 10 rounds single load slow fire in the Prone position; 10 rounds Rapid Fire Prone from standing; and 10 rounds single load slow fire in the Off Hand (standing) position for a total of 35 rounds. Vintage, Springfield, and Garand matches all use this course of fire.
Vintage matches are open to As-Issued Krags and 1917 Enfield, as well as any mechanically operated foreign rifles (Mosin-Nagant, Mauser, Arisaka, Swiss K31, British Enfield, etc.). Springfield is for As-Issued 1903, 1903A1, and 1903A3 rifles. Garand is for As-Issued Garand Rifles. Also, this year the CMP is starting a Theodore Roosevelt Commemorative Match, which is open to Krags and early 1903s only (no 1903A1 or 1903A3).
Hope this all helps. Oh, and I'm Paul... very pleased to meet you!