For me what I do is simply focus on individual things. There is nothing biological that requires the supernatural forces as the answer.
Some of the most common things I see being brought up are things like this.
The gaudy sphinx moth caterpillar has a design that makes it look a lot like a snake. People argue that how could a caterpillar make itself look like a snake in order to protect itself. Well they can’t but they did evolve that way. But the process can be explained away following basic evolutionary biology. Over a long period of time these caterpillars begin to develop this pattern. As time went by the ones that looked more like a snake was most likely less eaten by birds resulting in them passing in their genes which makes their offspring looks more like that.
Same with passiflora egg like structures that match butterfly eggs. Mimicry has a lot of cool examples.
Another cool aspect is convergent evolution. Like with sharks and dolphins. Very similar morphology , yet completely without design. A shark is far more closely related to a eel than it is to a dolphin and a dolphin is far more closely related to a elephant than to any fish. Though they look similar on the outside, it’s very artificial considering how the teeth evolved in each species and how their bone structure looks. If I took the bones of a shark, and the bones of a dolphin and placed them before you without telling you what they are you would not think they looked alike what so ever. Probably never even envision what the dolphin accurately from their bones.
All species are intermediate species. Some species are at a place right now though that helps us to understand the gradual change of species. We can look at seals for example right now and get a frame to understand what a whales ancestor may have looked like at one point. Eventually, the descendants of seals may even look very similar to dolphins while the mudskipper fish may have frog like descendants eventually.
I believe these examples can often help us with understanding things that may appear like design but it’s really just mimicry, coevolution and convergent evolution.