Can back acne improve just by changing my body wash?

Since the weather got hotter, I keep getting breakouts on my back.

Usually, I would get one or two, but
Recently, small pimples have spread to my upper back and shoulders.

(Warning: Photograph)

I think it might be because I exercised and sweated a lot.
I'm also wondering if it's caused by shampoo or conditioner residue on my back...

It's the first time I've uploaded my own photo, so I'm a bit shy, but I'm really conflicted, so I'm writing this post.

I am currently using regular body wash. Would it help if I switched to a product specifically for back acne?

I've heard a lot of recommendations for body washes containing salicylic acid, but I'm worried that using them every day might dry out my skin.

Are there any effective care methods or good body products you have used when you had back acne?