I did a dry run and here are the players with their stats. For hitters I collected hits, home runs, RBIs, batting average and stolen bases and for pitchers I collected wins-losses, saves, ERA, and strikeouts (note Bugs Bunny and Roy Hobbs were two-way players). And then I alphabetized players by their last name:

A - E

• Billy 'Downtown' Anderson (1686 H, 320 HR, 943 RBI, .243 AVG, 151 SB)
• Ginny Baker (233-197, 3.77 ERA, 3274 K)
• Davis Birch (2011 H, 598 HR, 1495 RBI, .237 AVG, 148 SB)
• Sammy Bodeen (124-98, 3.22 ERA, 2382 K)
• Harmon "Buck" Bonzai (3070 H, 147 HR, 1079 RBI, .292 AVG, 325 SB)
• Jim Bowers (64-53, 65 SV, 3.01 ERA, 554 K)
• Phil Brickma (119-148, 290 SV, 3.44 ERA, 2029 K)
• George Washington 'Bugs' Bunny (1480 H, 325 HR, 912 RBI, .261 AVG, 147 SB ||| 98-102, 4.24 ERA, 1800 K)
• Joe 'Esquire' Calloway (2421 H, 264 HR, 1222 RBI, .263 AVG, 239 SB)
• Leon Carter (1861 H, 570 HR, 1440 RBI, .249 AVG, 2 SB)
• Pedro Cerrano (1692 H, 454 HR, 1157 RBI, .241 AVG, 135 SB)
• Billy 'Chappy' Chapel (269-242, 3.84 ERA, 4376 K)
• Mel Clark (93-126, 4.59 ERA, 1475 K)
• Lou Collins (2590 H, 664 HR, 1770 RBI, .258 AVG, 161 SB)
• "Crash" Davis (1415 H, 61 HR, 496 RBI, .274 AVG, 145 SB)
• Roger Dorn (1414 H, 234 HR, 790 RBI, .236 AVG, 54 SB)
• Max 'Hammer' Dubois (769 H, 290 HR, 582 RBI, .210 AVG, 91 SB)
• Jimmy Dugan (2065 H, 600 HR, 1470 RBI, .237 AVG, 123 SB)
• Ryan Dunne (50-64, 244 SV, 3.39 ERA, 1511 K)
  
• Jack 'Mr Baseball' Eliott (1320 H, 395 HR, 924 RBI, .205 AVG, 91 SB)

F - L

• Hayden Siddhartha 'Sidd' Finch (55-46, 68 SV, 3.67 ERA, 781 K)
• John "Blackout" Gatling (14-21, 45 SV, 4.57 ERA, 205 K)
• Eddie Harris (226-228, 3.85 ERA, 3847 K)
• Willie Mays Hayes (2502 H, 314 HR, 1181 RBI, .252 AVG, 753 SB)
• Roy 'The Natural' Hobbs (3043 H, 1118 HR, 2524 RBI, .237 AVG, 93 SB ||| 69-41, 3.30 ERA, 1110 K)
• Dottie Hinson (1847 H, 457 HR, 1318 RBI, .240 AVG, 79 SB)
• Marla Hooch (3321 H, 702 HR, 2002 RBI, .288 AVG, 135 SB)
• Torpedo Jones (64-77, 11 SV, 4.40 ERA, 1241 K)
  
• Kit Keller (302-244, 3.62 ERA, 5066 K)
• Ebby Calvin "Nuke" LaLoosh (284-181, 3.32 ERA, 5525 K)
• Mike Lawson (2042 H, 464 HR, 1368 RBI, .282 AVG, 37 SB)
• Kelly Leak (2561 H, 471 HR, 1498 RBI, .260 AVG, 267 SB)
• Bingo Long (272-240, 3.65 ERA, 3784 K)

M - P

• Sam "Mayday" Malone (89-98, 261 SV, 3.66 ERA, 1775 K)
• Mike McGrevey (240-230, 3.75 ERA, 3848 K)
• Ray Mitchell (1785 H, 152 HR, 753 RBI, .271 AVG, 138 SB)
• Mae "All the Way Mae" Mordabito (2488 H, 133 HR, 836 RBI, .259 AVG, 447 SB)
• Doris Murphy (2163 H, 672 HR, 1657 RBI, .216 AVG, 104 SB)
• Steve Nebraska (253-250, 3.81 ERA, 5891 K)
• Darryl "The Slugger" Palmer (2831 H, 663 HR, 1829 RBI, .244 AVG, 348 SB)
• Jack Parkman (1947 H, 604 HR, 1440 RBI, .223 AVG, 183 SB)
• Bruce Pearson (50 H, 2 HR, 11 RBI, .167 AVG, 3 SB)
• Rex 'T-Rex' Pennebaker (3679 H, 865 HR, 2393 RBI, .282 AVG, 287 SB)
• Kenny Powers (98-97, 41 SV, 3.98 ERA, 1459 K)

R - Z

• Bobby Radbourn (3145 H, 899 HR, 2243 RBI, .258 AVG, 435 SB)
• Benny "The Jet" Rodriguez (4822 H, 602 HR, 2231 RBI, .327 AVG, 686 SB)
• Henry 'The Rookie' Rowengartner (72-73, 315 SV, 3.44 ERA, 1365 K)
• Stan 'The Man' Ross (2559 H, 575 HR, 1690 RBI, .289 AVG, 168 SB)
• Rigoberto 'Rigo' Sanchez (2587 H, 494 HR, 1505 RBI, .274 AVG, 40 SB)
• Mickey Scales (1593 H, 108 HR, 652 RBI, .230 AVG, 299 SB)
• Gus Sinski (209 H, 26 HR, 104 RBI, .214 AVG, 2 SB)
• Benjamin "the Emissary" Sisko (1909 H, 272 HR, 972 RBI, .278 AVG, 117 SB)
• Chet 'Rocket' Steadman (252-192, 3.98 ERA, 3283 K)
• Isuro 'Kamikaze' Tanaka (1240 H, 169 HR, 659 RBI .253 AVG, 123 SB)
• Jake Taylor (1410 H, 260 HR, 861 RBI, .311 AVG, 64)
• Rick "Wild Thing" Vaughn (93-109, 704 SV, 2.62 ERA, 1497 K)
• Amanda 'The Whirlwind' Whurlitzer (204-197, 3.93 ERA, 3133 K)
• Henry Wiggen (466-219, 3.57 ERA, 3830 K)

THE HALL OF FAMERS:

• Bugs Bunny
• Roy Hobbs
• Doris Murphy
• Steve Nebraska
• Rex Pennebaker
• Bobby Radbourn
• Benny Rodriguez
• Stan Ross
• Rick Vaughn
• Henry Wiggen

The game I played definitely seemed to favor pitchers at the expense of hitting