The second largest buck I ever killed I killed under those same conditions during firearm season. In fact, the majority of big deer that I've seen and killed had wet coats. Point is: bucks don't care what the weather is during the rut.
What the DOES are doing is of more importance. I used to think that if the does are hunkered down, that the bucks would be too, but then I realized that it can be that (if he's with an estrous doe), or just the OPPOSITE (the does are down, so he's cruising for one, and is wandering about searching). This, I believe, is why I see a lot of big bucks during rains.
At the minimum, you want to be IN the woods when the rain does stop, or lets up, because deer WILL move when that happens, especially if it's been raining for a while. Not leaving camp or your home, but actually in the woods.
One time I went in and had to get in my tree in a driving rain for gun season. IMO, there is nothing more miserable than setting up in the dark when it's raining. I compromised, and sat at the base of my tree with a small tarp over me until I could see, and then I got in the tree. I had one of the treestand umbrellas, and once I got that set up, I could at least kep the rain off of me, which helped a lot. 2 hours later I was rewarded with a nice 10 pointer that was with a few does.
Offer No Apologies.....
NRA Endowment Life Member