[Caleb Sykes]

How about this (Lake Superior 2013):
1. 2220, 2177(4), 3755
2. 2538, 3883, 4181
3. 2526, 2705, 3102 [78-68,100-67]
4. 4054, 2977(5), 2264 [58-18,59-50]
5. 4009, 4228, 4703
6. 4215, 1816(8), 93
7. 2052(d2), 2062, 4011 [115-71,154-52],[99-82,0-85,115-78],[94-105,122-76,126-90]
8. 3276, 3277, 4539 [99-45,123-61],[55-36,109-34]

The numbers next to the second team represent their rank at the time of their selection. The d2 means that 2052 declined the 2nd team. I felt that their position at the time does not need to be added here since, if you really want to know, it can be reconstructed from the given data. The match score sets show the rounds where that alliance advances. The QF, SF, F, and W are unnecessary since the match scores are given.

or maybe this:
1. 2220, 2177(4), 3755 [45-99,61-123]
2. 2538, 3883, 4181 [71-115,52-154]
3. 2526, 2705, 3102 SF [82-99,85-0,78-115]
4. 4054, 2977(6), 2264 SF [36-55,34-109]
5. 4009, 4228, 4703 [18-58,50-59]
6. 4215, 1816(10), 93 [68-78,67-100]
7. 2052(d2), 2062, 4011 W
8. 3276, 3277, 4539 F [105-94,76-122,90-126]

This one looks much cleaner but is much less intuitive. The score sets come from the round of the tournament where the alliance was eliminated.