Hi phoozles! Congrats on the upcoming baby!
As for food, there really isn't anything else as low in iodine as the Y/D, but I wouldn't recommend going that route anyway. Here are a couple great articles by a veterinary endocrinologist on the whole Y/D propaganda machine:
What about if you were to handle the meds with gloves? You could also avoid touching them altogether by placing (with tweezers, or carefully tipping the bottle) each dose into a mortar and pestle and pulverizing it, then mixing the powder into some baby food as a "treat" for Jake.