I would think since we don't wrestle a true 2nd place at regionals that maybe put the 2nd and 3rd place finishers from the same regional on the same side of the bracket instead of 1st and 3rd. This would also eliminate the possibility of bracket positioning in the 3rd or 4th place match but you could run into the possibility of bracket positioning for the 5th and 6th place match.

1 A vs 8 B
4 B vs 5 A
3 B vs 6 A
2 B vs 7 A

1 B vs 8 A
4 A vs 5 B
3 A vs 6 B
2 A vs 7 B