You can search for DIY ways to make both, but I have a food dehydrator and use it to make and preserve all kinds of stuff. Mine's old but very reliable and I dry herbs, every veggie you can think of, like kale for using in the off season, and yes...zucchini too.
Tomato leather is the same as an apple roll up. Basically any veggie or fruit that can be cooked down and pureed can make a leather or fruit. Tomato leather is actually very tasty. And I'm like you...not a huge fan of just fresh sliced tomatoes because I prefer my tomatoes cooked, but I will chew on tomato leather. It's also great to put into a pot of water and simmer until melted to make tomato sauce.
I used to have a very small house and dried foods only need a quarter of the storage than canned foods do, so part of my drying started out of necessity.