There are two bible programs for the BB that I know of. Olivetree and Laridian
They both work reasonably well. I can't say either wowed me, but they both work. My favourite pda bible app is palmbible+ and I miss it. My complaint with both of them is that neither of them support expansion cards, which makes them both unusable for me at the moment. I don't have enough space internally to sacrifice to large texts. I talked to support for both companies, and they both claim to be working on it.
As for your DailyReader, I'm not entirely sure what it fully does, but Olivetree's software does allow installation of other texts (Practice of the Presence of God is free as a sample).
I wasn't paying enough attention, as I wasn't looking for it, so I can't tell you whether either supports reading schedules.
In the mean time, I'm just referring to online resources for my reading.