I've tried this set out and concluded it just doesn't work. I had only 1 BOA though but IMO it shouldn't take all BOA's for a set to be viable.
Anyway, I used:
4385
21933
44103
51994 ...of the bandit
6473 +100 health
14569 + 9 stamina
10413 +15 agility
10412
10410...