I think that sounds like a good plan. So:
Week 1 (6/1-6/7): Book 1, Part 1, pp 1-115 (115 pp)
Week 2 (6/8-6/14): Book 1, Part 2, pp 116-212 (96 pp)
Week 3 (6/15-6/21): Book 1, Part 3, pp 212-313 (101 pp)
Week 4 (6/22-6/28): Catchup/break
Week 5 (6/29-7/5): Book 2, Part 1, pp 317-373 (56 pp)
Week 6 (7/6-7/12): Book 2, Part 2, pp 347-452 (105 pp)
Week 7 (7/13-7/19): Book 2, Part 3, pp 453-532 (79 pp)
Week 8 (7/20-7/26): Book 2, Part 4, pp 533-587 (54 pp)
Week 9 (7/27-8/2): Book 2, Part 5, pp 588-663 (75 pp)
Week 10 (8/3-8/9): Catchup/break
Week 11 (8/10-8/16): Book 3, Part 1, pp 668-755 (87 pp)
Week 12 (8/17-8/23): Book 3, Part 2, pp 755-910 (155 pp)
Week 13 (8/24-8/30): Book 3, Part 3, pp 911-1033 (122 pp)
Week 14 (8/31-9/6): Catchup/break
Week 15 (9/7-9/13): Book 4, Part 1 and Part 2, pp 1039-1145 (106 pp)
Week 16 (9/14-9/20): Book 4, Part 3 and Part 4, pp 1146-1256 (109 pp)
Week 17 (9/21-9/27): Epilogues 1 & 2, pp 1259-1358 (98 pp)
Does that work?
I was planning to create a topic for each week so people can add their comments as they feel moved to do so, but I probably won’t work too far in advance.