You're not allowed to use any persona with null, drain, or reflect. That cuts out like, 99% of the personas that aren't from the first couple months. I'm just gonna use a guide for it in NG+ because it is not an enticing challenge whatsoever.
You may use personas with null, drain or reflect, you're just not allowed to have it activate. Elizabeth uses moves in a predictable order, so once you know the pattern, you can just make sure you're not on something that reflects Fire when she's about to use a Fire attack. Etc.