You could always use my list of all possible options using point buy. Or at least I think it's all possible ... assuming the half hour I spent writing the algorithm was correct. In any case, roll randomly to see which line you use then roll randomly for placement. Done!I like the idea of a group using Point Buy to make six different arrangements of stats, then each player rolling randomly for which numbers they will use.
For example, the first person may design a 15, 15, 14, 8, 8, 8. And if you rolled a 1, you would use that array.
13, 13, 13, 12, 12, 12
13, 13, 13, 13, 12, 11
13, 13, 13, 13, 13, 10
14, 12, 12, 12, 12, 12
14, 13, 12, 12, 12, 11
14, 13, 13, 12, 11, 11
14, 13, 13, 12, 12, 10
14, 13, 13, 13, 11, 10
14, 13, 13, 13, 12, 9
14, 13, 13, 13, 13, 8
14, 14, 12, 11, 11, 11
14, 14, 12, 12, 11, 10
14, 14, 12, 12, 12, 9
14, 14, 13, 11, 11, 10
14, 14, 13, 12, 10, 10
14, 14, 13, 12, 11, 9
14, 14, 13, 12, 12, 8
14, 14, 13, 13, 10, 9
14, 14, 13, 13, 11, 8
14, 14, 14, 10, 10, 10
14, 14, 14, 11, 10, 9
14, 14, 14, 11, 11, 8
14, 14, 14, 12, 9, 9
14, 14, 14, 12, 10, 8
14, 14, 14, 13, 9, 8
15, 12, 12, 12, 11, 11
15, 12, 12, 12, 12, 10
15, 13, 12, 11, 11, 11
15, 13, 12, 12, 11, 10
15, 13, 12, 12, 12, 9
15, 13, 13, 11, 11, 10
15, 13, 13, 12, 10, 10
15, 13, 13, 12, 11, 9
15, 13, 13, 12, 12, 8
15, 13, 13, 13, 10, 9
15, 13, 13, 13, 11, 8
15, 14, 11, 11, 11, 10
15, 14, 12, 11, 10, 10
15, 14, 12, 11, 11, 9
15, 14, 12, 12, 10, 9
15, 14, 12, 12, 11, 8
15, 14, 13, 10, 10, 10
15, 14, 13, 11, 10, 9
15, 14, 13, 11, 11, 8
15, 14, 13, 12, 9, 9
15, 14, 13, 12, 10, 8
15, 14, 13, 13, 9, 8
15, 14, 14, 10, 9, 9
15, 14, 14, 10, 10, 8
15, 14, 14, 11, 9, 8
15, 14, 14, 12, 8, 8
15, 15, 11, 10, 10, 10
15, 15, 11, 11, 10, 9
15, 15, 11, 11, 11, 8
15, 15, 12, 10, 10, 9
15, 15, 12, 11, 9, 9
15, 15, 12, 11, 10, 8
15, 15, 12, 12, 9, 8
15, 15, 13, 10, 9, 9
15, 15, 13, 10, 10, 8
15, 15, 13, 11, 9, 8
15, 15, 13, 12, 8, 8
15, 15, 14, 9, 9, 8
15, 15, 14, 10, 8, 8
15, 15, 15, 8, 8, 8