If they are Deere forks, I know they won't bend.
Blocks as she found out just push down into the mud.
Some larger pads like a pallet might be better under the forks.
Still is going to be tricky to get wood packed under the tires as that mud doesn't make it easy at all.
And once the wood is under there, driving off over it may do damage to the "underlings" whereas the mud prolly doesn't.
All to often, it is a wise choice to wait until the mud dries some (if there is any hope for that).
Wish you well, and godspeed getting home to help.
And we did like seeing the photos, but hope to see some of the tractor on the high and dry side - and all safe.