There was discussion on the national listserv about this a looooong time ago (maybe 5-6 years ago?). It wasn't formally petitioned or anything, but some people said they felt that just having a rose was enough, and some others (mostly alumnae) said they felt having a mascot was not in keeping with our "professional" image...
As far as ladybugs go, I believe that's Alpha Sigma Alpha's mascot, so they probably wouldn't appreciate it if we borrowed theirs.