I have the same curse on my potatoes and cabbage.
I have never figured out why my raddishes are so hot?
I had great success with planting my potatoes as bucket potatoes.
Cut the bottoms out of white plastic buckets and place them on the ground. Inside the buckets, lay the seed potato pieces right on top of the dirt and cover with wood chips.
I had my best crops that way. The potatoes I planted in the dirt got half eaten by slugs but the ones in the wood chips were untouched and a great size.
The added bonus is that they come out so clean when you harvest them.
I did have a battle with tomato hornworms one year and now regularly go out and monitor my plants about twice a week and pick off bugs. Nasty business but it helps a lot. UV flashlights are great for finding the critters at night.
One thing I am trying this year is beneficial insects from this place - Arbico organics.