Starfleet Academy quiz: 480 (2 minutes)
Officers Foundry Missions (Naga Distress Calls): 1,440 (8-10 minutes)
Transwarp to K7 and do the 3 Dailies in Eta Eridani: 1,440 (15 minutes)
Several times a month I also do the Core Fragments Daily there for another 1,440.
3 Deferi Dailies: 2,400 (25 minutes)
Transwarp to GO and head to B'tran. There I do Vice Admiral Daily and Strange New World: 2,880 (10-20 minutes)
That gives me 8,640
When I want to keep it under an hour I cut-out the 3 Eta Dailies. That leaves me at 7,200. I usually have enough DOFF Dilithium to make that around 8,000.
I do that on 3 alts every day in about 3 hours. So I'm usually acquiring 21-26k per day.
KDF Pi Canis Sorties - 4300 Dilithium, Replaying Alpha and Bravo earns 1760