Maybe age is part of the problem for me. I'm about 10 years older than the undergrads, so they're not really in my dating pool. Most of the dates I've gone on were with fellow graduate students, but I didn't go on many dates before stopping.

The ancient philosopher Plato tells us that the ideal marriage ages are 16 for women and 30 for men. One might suspect that he was 30 at the time, but Plato is quite respected. Consider taking his advice. Biologically it makes sense, leading to large families that can be financially supported.

Consider taking his advice and marrying 16 year olds?

I think he's just implying that there isn't any reason to remove the undergrads from the dating pool.

If anything, the undergrads should be your only dating pool. Older women come with too many entitlements and strings attached and you're essentially on the clock to start a family with them.