It would go down to cross divisional opponents. Whoever's opponents from the west have the highest conference winning percentage would win the tiebreak and represent the east. Its the 5th tiebreaker, but its the one that would apply in the "all three split and beat everyone else" scenario. I can't imagine a situation where they actually made it past 5.
The Big Ten football championship will be decided by a game played between the two division champions. A team or teams that are not eligible to participate in a postseason football bowl game as a result of NCAA and/or Big Ten sanctions shall not be eligible to participate in the Big Ten...
bigten.org
1. The records of the three (or more) tied teams will be compared based on winning percentage in games between the tied teams.
(a) Example: East 1 is 2-0 in games between the tied teams with wins over East 2 and 3 - East 1 would be the representative.
2. The records of the three (or more) tied teams will be compared based on winning percentage within their division.
3. The records of the three (or more) teams will be compared against the next highest placed teams in their division in order of finish (4, 5, 6, and 7).
(a) When arriving at a group of tied teams while comparing records, use each team’s record against the collective tied teams as a group, rather than record against the individual teams.
4. The records of the three (or more) teams will be compared based on winning percentage against all common conference opponents.
5. The records of the three (or more) teams will be compared based on the best cumulative conference winning percentage of non-divisional opponents.
(a) Example: East 1 non-divisional opponents are 20-7, East 2 non-divisional opponents are 19-8, East 3 non-divisional opponents are 14-13 – East 1 would be the representative.
6. The records of the three (or more) teams will be compared against the highest placed non-divisional teams in their division order of finish (1, 2, 3, 4, 5, 6 and 7).
(a) When arriving at a group of tied teams while comparing records, use each team’s record against the collective tied teams as a group, rather than record against the individual teams.
(b) When comparing records against a single team or a group of teams, the record will prevail, even if the number of games played against the team or group are unequal (i.e. 1-0 is better than 0-0, 2-0 is better than 1-0, etc.)
7. The team with the best overall winning percentage [excluding exempted games] shall be the representative.
8. The representative will be chosen by random draw.
If whoever won the tiebreak won the CCG the rep would be that team, if they lose, I'd imagine it'd be whoever beat the other team that didn't make the CCG since they'd have the same record but own the h2h but anyone's guess.