Depends on how much rain. I use soaker hoses to keep disease pressure to a minimum. The less wet the leaves (especially beans and cucumbers), the less disease.
A sprinkler will be able to do the trick though, you may have to run it a bit longer. But it will stay watered longer and you won’t sink to your ankles the morning after you’ve watered.
You need some chickens for those ‘compostables’ you listed. My chickens love to see me coming in from the garden.
Yeah, chickens are on the list. so is a goat or two for milk.
I know ground watering is better but we’re not set up for that yet. A revolving sprinkler type is all I have so far. But I think the paper/mulch thing will help with the tomato blight!