Looking at how the Brewers have performed post-ASB I think their ideal lineup would be something like this...
Chourio (101 PA | 178 wRC+)
Contreras (104 PA | 157 wRC+)
Mitchell (76 PA | 98 wRC+)
Adames (101 PA | 132 wRC+)
Hoskins (87 PA | 130 wRC+)
Sanchez (36 PA | 167 wRC+)
Frelick (81 PA | 45 wRC+)
Ortiz (94 PA | 65 wRC+)
Turang (89 PA | 28 wRC+)
Chourio is fast and the best player on the team give him the most PAs, Contreras is the best all around hitter, Mitchell is the best lefty at the moment so he gets third to break up all the righties, Adames/Hoskins are your best regular run producers, El Gary fits the same mold in a smaller sample, after that its the struggle bunch so just went LRL to split the lefties.
Monasterio (21 PA | 147 wRC+) and Haase (20 PA | 169 wRC+) have both performed the small handful of times their names have been called, I'd be calling Andruw a little more often for sure given recent performance of Joey/Brice, keep Sanchez DH only and use Haase behind the dish for Contreras off days. Bauers (52 PA | 88 wRC+) has been Bauers.
Zooming out a bit here is the league average wRC+ at each batting order spot for each of 2022, 2023 and 2024 so far (with the Brewers wRC+ and league rank this year in parentheses at the end)...
Batting 1st
103, 111, 106 (90 | 22nd)
Batting 2nd
115, 114, 114 (107 | 18th)
Batting 3rd
116, 111, 118 (139 | 7th)
Batting 4th
109, 108, 106 (125 | 6th)
Batting 5th
98, 103, 103 (93 | 22nd)
Batting 6th
96, 94, 93 (80 | 23rd)
Batting 7th
90, 89, 95 (119 | 3rd)
Batting 8th
87, 86, 84 (107 | 6th)
Batting 9th
81, 81, 75 (99 | 1st)
So leadoff, #5 and #6 have been the weak spots this year for the Brewers. Number two has been below average by lineup position but still above average overall. #3, #4 and the bottom three spots have been where most of their big gains have come from.