If you have not yet figured it out, there is a huge difference between off-season at WDW and at DLR. WDW pretty much keeps their shows running year round, so you can choose to visit any week of the year and be in position to experience most all of the shows.
At DLR shows are offered daily during high season, but in off-season shows are mostly on the weekends. There are some shows on off-season weekdays, but it is limited. Weekends year round are pretty much high season at DLR because of their huge number of local AP holders.
Further, DLR does not publish entertainment schedules as far in advance as WDW - typically 2-3 months in advance. So if you make long range plans you will not know any of the above until you arrive at DLR.
Whether you choose spring or fall, keep the above in mind when you choose your actual days. If you go during off-season spring or fall, then overlap your trip with weekends. If you go during high season spring or fall, then avoid weekends completely.