Why don't farmers donate the crops they destroy and animals in this Coronavirus crisis?

So, during this crisis you don't want any food to eat?  If you were a farmer - I'm sure the last thing you'd do is donate anything.  Farmers are in business to make money.

And who is going to pick up their crops and animals.  Will unscrupulous businessmen pick up the donated food then sell it and make a fortune and those struggling will still miss out.  Will those who can afford to buy food try and get free donated food instead of buying theirs and still deprive the poor from getting free food.  There are too many who cheat the system and it puts people off trying to help.

Boxing things up and shipping them cost money.  They need to coop to make a vertical corporation that canes or otherwise processes their product so it can be "amazoned" out.

I wouldn't want destroyed crops or animals. messy!

Ah, you've missed the point. The reason they are destroying their goods is because they can't ship them. The truckers and trains are shutdown, like most of our economy. So they are dumping their vine ripened tomatoes, for example, because they can't get anyone to cart them off to the grocery stores.

And the same is true for the food banks. They can't get anyone to take their goods from the farms to the food banks. There have been a few private truck drivers come to the rescue but the drayage and long-haul industry itself has shut down.

Well--what do you think a person who is hungry or a poor community can actually DO with 4 acres of soybeans? Or 1000 bushels of corn? Or 65 square miles of wheat?

I can certainly understand some farmers donating produce, eggs, milk, or cheese to impoverished communities. But they can't simply GIVE someone a cow or a pig, or bulk "crops". And there is a question of getting it TO those who need it. 

It's a lovely idea--and very altruistic. But it's not physically practical. 

When animals are slaughtered and discarded, it's because there are no facilities available to prepare the meat for market and consumption.  "Donating" a live pig to the Salvation Army does them no good, as the Salvation Army has no personnel who can turn the pig into consumable pork.

Who is going to transport it, safely store it, etc? You? Then? The government? Someone else?

Because they won’t get their farmer welfare checks if they do that. They can’t understand how people could be poor or starving. The government pays them to build a garage on their farm and load it up with freezers that they keep packed with food that they buy at the grocery store, or with meat that they had custom slaughtered at the butcher shop. And the government pays for the electricity too. 

Some are, but there is really no infrastructure to do that. The cost of transportation has to be paid by someone. There are also health laws that get in the way, especially for the meat.