If we're going to 16, in addition to Nebraska let's add:
Mizzou (a natural rival for Illinois; appear on solid ground in FB & BB)
Notre Dame (love 'em or hate 'em, ND should be at the top of the list; 1st-class institution)
Pitt (good school, good FB & basketball; revive rivalry with Penn State)
Syracuse (a premier hoops program; a trip to cavernous Carrierdome in the offing)
and call it a day. That way the Big Ten will have helped both basketball and football immensely. Notre Dame would be the huge get, obviously. The Fighting Irish and Nebraska have huge football traditions, and Pitt's isn't too bad either. Pitt and especially Syracuse would be coups for basketball & Mizzou and Notre Dame are solid hoops programs. Nebraska is the only school that wouldn't bring much to basketball.
I'm assuming the Big Ten won't get Texas. If the Big Ten somehow gets both Notre Dame and the Longhorns (without giving them any special allowances), then we're talking a grand slam .