(grew up in the midwest). Jr year was to a different high school with a kid in my stake, and Sr year was with a kid that had just moved into my ward. At my school, Prom was the only dance where a date was required. For all the others, it was mostly groups. Those groups could be made up of pairs, a bunch of friends, or a mixture of both.
My suggestion is to try not to let her self-esteem get wrapped up in whether she gets asked to a dance or not. As a parent, it's difficult to watch if she really wants to go, but encouraging her to take control of her own destiny and create her own fun will go a lot further than trying to "force" some young man to ask her. Some posters have said "there'll be plenty of boyfriends in the future" - there may not be no matter how awesome she is. Now's the time to start reinforcing the value of individual Worth