WooHoo! Finally caught myself a Dragonite last night in Churton Park @ about 12:00 at night. Thanks for all the suggestions.
The Dragonite ate all 20 of my Ultraballs and finally got it after launching several Greatballs and Razz berry at it. I was a little disappointed it didn’t fair well in the Pokémon Appraisal system, but I’m happy I finally got one 🙂