Try to contact meet director to actually confirm that
1) few are entered in those events and
2)events will be held even if few entries.
If you are confident you can PR as a time trial, and obtaining an official verified time interests you, go and run anyway even if events are being held with only a few entrants.
Or request to be placed in a longer event in the elite field. Go out fast and hang on shooting for an unofficial pr for 3k in 5k if possible.
I once knew a guy who convinced his coach to lie about his 10k qualifying time to get into NAIA nationals.
He set an unofficial 5k pr during that, and then they made him stop running when he was lapped. He was able to swallow his pride and was very happy with his run.