I don’t know about less wordy, But playing against a person that tutors every three turns, seems frustrating. I love the blood counters idea as a form of spreading vampirism, what about something like this:
1. Whenever a creature is dealt damage by a vampire, put a vampire counter on it.
2. Until your next turn whenever a vampire you don’t control dies, put it onto the battlefield under your control instead.
3. If an opponent controls a non-vampire creature remove two lore counters from target saga.
#Those who are unaware of their past, are bound to repeat it.
This is still too wordy I think, but I had a blast thinking of the board state this would create