You don't need me to realize these 3 guys are almost identical overall. Rudy has the longevity edge, Louie and Mel have more speed. What one lacks in power he makes up in OBP. For me, offensively this is more or less a wash. So we look further.
All 3 were 2B's for the vast majority of their careers. As 2B's:
Louie 80 E, 83+, 3-, .984 F%, 4.88 RF
Rudy 111 E, 16+ 46-, .983 F%, 5.06 RF
Mel 169 E, 21+ 38-, .981 F%, 5.90 RF
Louie sticks out a lot here, with his 83-3 +/-. His RF is significantly lower than Barfield, but range factor is such a weird stat, and is heavily affected by the rest of your team. +/- is an individual stat. If I had to choose between those guys, it would be pretty clearly Louie, Mel, Rudy.
Now to consider awards:
Louie 9 AS, 1 GG, 4 SS, 2 MVP
Rudy 5 AS, 1 GG, 5 SS, 2 MVP
Mel 7 AS, 1 GG, 4 SS
Putting those all together, hopefully I've explained why, for me, the order is Louie, Rudy, Mel.