Major League ballparks during the tournament in the Big Ten footprint...
CHICAGO CUBS: Wrigley Field
24-25 May: HOME vs. San Francisco
26-28 May at LA Dodgers
CHICAGO WHITE SOX: Guaranteed Rate Field
24 May: at Arizona
25 May: No game.
26-28 May: HOME vs. Detroit
CINCINNAT REDS: Great American Ball Park
24-25 May: at Cleveland
26-28 May: at Philadelphia
CLEVELAND INDIANS: Progressive Field
24-25 May: HOME vs. Cincinnati
26-28 May: HOME vs. Kansas City
DETROIT TIGERS: Tiger Stadium
24-25 May: at Houston
26-28 May: at Chicago White Sox
KANSAS CITY ROYALS: Kauffman Stadium (Okay, not really in the Big Ten footprint)
24-25 May: at New York Yankees
26-28 May: at Cleveland
MILWAUKEE BREWERS: Miller Park
24 May: HOME vs.Toronto
25-28 May: HOME vs. Arizona
MINNESOTA TWINS: Target Field
24 May: at Baltimore
25 May: No game.
26-28 May: HOME vs. Tampa Bay
NEW YORK METS: Citi Field (close to Rutgers)
24-25 May: HOME vs. San Diego
26-28 May: at Pittsburgh
NEW YORK YANKEES: Yankee Stadium (close to Rutgers)
24-25 May: HOME vs. Kansas City
26-28 May: HOME vs.Oakland
PHILADELPHIA PHILLIES: Citizens Bank Park
24-25 May: HOME vs.Colorado
26-28 May: HOME vs. Cincinnati
PITTSBURGH PIRATES: PNC Park
24-25 May: at Atlanta
26-28 May: HOME vs. New York Mets
ST. LOUIS CARDINALS: Busch Stadium (same boat as KC)
24-25 May: at LA Dodgers
26-28 May: at Colorado
WASHINGTON NATIONALS: Nationals Park (close to Maryland's campus)
24-25 May: HOME vs.Seattle
26-28 May: HOME vs. San Diego
Looks like Cincinnati, Detroit, Kansas City, and St. Louis are open for the duration of the Big Ten tournament. Also, US Bank Stadium (Minnesota Vikings) has the capability of hosting baseball events per the Wikipedia page:
https://en.wikipedia.org/wiki/U.S._Bank_Stadium#Baseball
US Bank Stadium is hosting the Dairy Queen Classic this year (2-5 March):
Perhaps the conference is waiting to see how that event goes before committing there?