Think of this. Bedbugs are icky, to be sure. But...they are not big disease carriers. You are far, far, more likely to catch influenza or a virus from a railing or door handle in a park or resort that has been touched by tens of thousands of people before you in the same day, and you've probably not spent every vacation since 1986 worrying about that.
Check the bed if it makes you feel better, and then turn off your worry reflex. That's why you go to Disney in the first place.