Play the semi-final games on the higher seeded team home court for both the men and the women. These games would reward the top two finishers with a home game. Would be played in the middle of the week.
And find a suitable decent sized neutral arena for a championship men's and women's doubleheader Saturday or Sunday.
Tall order to expect students/fans to rush to a neutral venue with only a few days' notice.
Relatedly, it kind of defeats the "we want to bring the league together" idea. With both semis and the finals at one venue, you potentially could have the teams from all eight schools in one place.