Heavy Rain on the way, best ways to handle mud?

So, the forecast here is 3-5+ inches of rain in a 24 hr period plus rain thru the first of next week.

My goats have a partially enclosed lean to--2/3 fully enclosed with a 1/3 open. It's under shade trees so stays dry. But with that much rain, I know the grass and dirt floor will get muddy from that much water all at once.

I have a sleeping area of one pallet to keep the gosts (just 2) off the floor. The ceiling is high enough to add another on top. Should I?

Also, while we have plans to add a gravel floor, obviously that's not done and the rain is coming, so that won't happen in time.

Will adding extra straw to the floor help keep them off the ground?

Also, my girls are on browse--no hay--and feed with waterproof mineral containers, but I know they will NOT come out to eat in the rain.

Will they be ok on feed alone?
I give them a small coffee can of a balanced 14% protein feed mixed at the local feed store.

 

WitchHazel, ME TOO

Thanks for the advice! Thankfully we had an afternoon of drying out a bit before this next downpour