I can't speak 100% for CP, but I've played every other version, always a Noel main. Noel's mirror matches suck. I find that 2D is your friend in this matchup. It will beat 4D, which is your worst enemy. However, remember that 2D beats lows, so if they wake-up 2D, and you try to low poke, you will lose. 4D creates a small space before the active frames, which will cause attacks with short reach to whiff. Suffice it to say, Noel's 5A/2A have very short reach. It's usually best to stay at about arm's length, rather than right up next to them.
If you find your opponent Drive spamming, remember that Chain Revolver is basically scripted. You KNOW the 4 move limit, and what finishers there are. Best bet is to stay back while CR is occuring, and when you see a finisher or a re-load, dash in and punish. Just watch for Assault Through. That one can be avoided with a jump. If you're in a block string, watch for high (d.6B) and low (6D), and it's easy to poke out longer Drive moves (5D, 6D, 4D, d.6B). I always see characters with DP hit immediately after d.6C. I don't know if Noel can poke out of this, but I don't see why not.
If I said anything bad/wrong, feel free to chime in.