I didn't go to Newberry -- I went to Western Carolina.
Sheesh, that sounds like too much trouble. For Homecoming, our pairs were drawn out of a hat, no more than about a month beforehand. At one point, we had twice as many fraternities (6 to 13), so we all got paired w/ two, and one group was paired w/ three. Of course, Homecoming wasn't really a big deal (Greek Week was). The only thing we did w/ our pair was build and ride on the float (as I mentioned above).
Like I also mentioned, our mixers were just the fraternity's social chair calling our (or another sorority's) social chair and asking about a good date for a mixer. Before the rules changed in 2000, we had one mixer a week, sometimes two and once or twice we had three.
I'll admit it - there were a couple of fraternities that we didn't want to mix with, and we didn't, mainly b/c their social chair was too intimidated to call us to invite us out and also b/c they didn't know any of us.
One fraternity (that shall remain nameless) invited us for a mixer, but we went over for dinner instead.
Not all of the sororities had such a busy mixer schedule, b/c, well, they just weren't as popular (like having only one or two mixers a semester). One sorority never got invited for mixers b/c even though the guys liked them and they were popular, the guys complained that they always went home at 12.
Sometimes girls in other sororities would get jealous when you mixed w/ a particular fraternity b/c that fraternity was thought of as "belonging to" that sorority b/c either a lot of the girls dated the guys, or they were little sisters out there, or they had been mixing or partying out there a lot lately, or whatever.
If we had been invited to the guys' house for an informal mixer and there were girls there that weren't in our sorority, we would have been seriously offended and left. We did show up to one fraternity mixer one time and some of their little sisters were there. We made the guys get them to leave b/c we didn't want them there and we didn't want to be held liable for their actions.
We didn't have pairs for Greek Week either. Greek week was girls vs. girls and boys vs. boys. Usually the sorority that won and the fraternity that won would have a victory party together on Saturday night. We always won, so that was more of the winning fraternity inviting us out to their house for the night.
This courting thing sounds like too much work.
Let the boys come to you!