Usually, the baler will follow the combine around here when we harvest oats, but that is not to say the same problem would not occur.
We got 6" of rain on Wed., Thursday was just perfect, humidity blew off, sat outside with a mild cigar, a cold beer and a friend, after work, no mosquitoes either, just enough breeze to keep em at bay. Yesterday we got an all day soaker. Today is hot and humid, though kind of mild, still humid, mid 80's.
Right now those oats are ready to harvest, but it's just gonna have to dry up a bit, no way you would be baling the same day, that 6620 JD combine might make some serious ruts too. Problem here is, when the weather is like this, you have to get things done when you can, so timing is important, harvest what makes sense, higher ground, wait for the weather to dry things 1st, then bale the straw asap, might have to sit in the windrow 1-2days, might bale right after once things dry up again, last year the baler followed the combine, had rain coming, but the crop was ripe awhile so the stalks were dry when it was harvested in dry weather. Now he can apply that acid from that 582 JD baler, if the moisture is up too much, though he avoids using it as much as he can. Last year he narrowly missed getting 50-60 bales in after harvest, worked late into the night to get em in, rain was right behind him.
Moisture meter might be a helpful tool, checking by hand etc., noting heavy bales like was mentioned, avoiding wet areas/sections of windrows, I'm no expert, but seems it should not be a problem for the most part from what I have experienced with it as long as you do the best you can to harvest when it's dry or has dried up, like I said, he could harvest today, but that straw and that ground would be awful wet and hard to say what if anything could be baled behind the combine.