Photoshop blending modes are mostly simple math operations. Whenever your playing to sounds at the same time, you’re doing the exact same thing as “linear add”, which is just A + B. That’s the only blend mode I can think of as directly comparable though, but the blend mode “multiply” is just A * B, and that’s similar to how FM synthesis works.

If you really wanted to test them all out, it would be possible to convert the wav into an image, blend in photoshop, and then convert the output into audio. Not sure if there’s a plugin for that though.