Maybe you need to re-pitch this role as a contract and hire a remote contractor. I think you would get plenty of interest from experienced analysts if you could hire nationally. I might even be interested with that generous PTO policy, but on-site is like going back to the stone age for me. Whatever metro area you are in that salary must be a show stopper. Many younger people are stuck with incredibly high housing costs without the benefit of being grandfathered into rent control or mortgage payments from 7 years ago.
Unfortunately we don't like to hire contractors much, and when we do it's only for a 6 month period, has to be reviewed and reapproved every months. So I could lose someone just as they're starting to learn the intricacies of our system, because a lot aren't renewed as they're only supposed to be short term. I've got catch 22's all around me.