>Is it ok to use my left over dynamite to get rid of these tunneling fowl?
Noooo!
Burrowing owls are among the coolest birds in the wild. Seldom do they dig their own nests, generally appropriating burrows from other critters which is on you! Didn't trap your gophers? Didn't bait your voles? Didn't shoot your badgers? Shame on you. They do us a great service removing rodents and the diseases they carry.
I can speak from personal experience that having spent decades in the wilds of the intermountain west on the job, burrowing owls are a treat to find and watch. We always went out of our way to leave them undisturbed as they are a talisman of rangeland health.
I personally felt it was a red letter day to encounter a populated burrow. Extra bonus when the hatchlings all gathered at the mouth of the burrow.
You should see a burrowing owl go after a rattlesnake. That's a memory I'll never forget. Spoiler, snake dinner for the chicks. Badass little birds.
https://www.allaboutbirds.org/guide/Burrowing_Owl/overview