I asked DD because she has been at Woodward in early June for the past 3 years (not this year... possibly later in the summer, depending on her healing foot). She says, as far as bugs go, there are lots of ants, and one year she found a Luna moth (she's a budding entomologist) but Mosquitos weren't bad.
Since you're going to Woodward, let me plug the Elk Creek Cafe in nearby Millheim. They brew their own beer and cook with local ingredients. You can sit there in this very cool modern space with funky modern (also local) art all over the walls with a beer in your hand and watch Amish horse-drawn buggies ride by. Sort of surreal but fun. Live music some nights too. There's also a nice little wine shop and a coffee shop with the best brownies ever in Millheim.
I hope your DD has a blast!