A bit of condensation is to be expected. As long as drops are not forming to the point that they drip on the eggs you will be fine.
I keep the probe in a tub. I use smaller (6qt) tubs, though I doubt tub size would make much of a difference.
I open each tub for a few seconds each week to exchange the air. When I open the press and seal if any drops fall on the eggs I blot them dry with a paper towel.