Our campus has 6 sororities and recruitment seems to go pretty smoothly during the week.
Does your school have recruitment while school is in session?
If there are not enough big rooms to conduct recruitment while school is in session, one thing your school might consider is moving it to the week or so before classes begin. That way you don't have to even worry about school work and the availability of rooms
Our school does that, and it really seems to work well for us