I've always used P A B T (Power Attitude Balance Trim) and it works for all situations EXCEPT levelling from a nose high attitude. Then it would be A P B T. Power does always infer that you should kepp the attitude selected, but this trimming for a power setting... An airspeed/power setting Yes.....
I agree that with a good scan students shouldn't need a nmenonic, but in the early stages something to focus the mind helps.
As to wether you should lower the nose or weave to clear the climb I think both forms have their merits and problems. I don't believe in a catchall for any situation or a/c.