(Because I have a couple Greek friends at KappaKitty's school, I'm pretty familiar with their recruitment system.)
Here's my suggestion: I know that because your school is on the trimester system, your rush week falls when most schools are still on winter break. So is there any way you could recruit girls from other schools to be your Rho Chis (from chapters that aren't on your campus, preferably)? The UW systems schools and the University of Minnesota are both still on winter break for the duration of your recruitment week, and I'm sure there are many other schools near you that are too.
I've heard of some schools using recent alumni or NPHC sorority members to be Rho Chis too, since they're more likely to be impartial about the whole process. I'm pretty sure your school doesn't have any NPHC sororities, but maybe you could use members of, say, SAI who would be more likely to be pro-Greek but impartial between the social sororities?
I hope you guys find a way to work this out -- I know there's a lot of dirty rushing at your school and this doesn't sound like it's going to help much.
