You’re probably fine if you try to keep your head averted a bit - stand to the side of the oven door when you open it so the blast doesn’t hit you HEAD-on. You don’t want to expose the aids to high heat for more than a few seconds.
When I go to the beach, I sometimes put my aids in their hardshell case and place them in a picnic cooler. I use Yetti ice bricks - NOT water-based ice cubes in the cooler.