Blue, & white have more you can switch up accessories & towels with. But if you don't mind that, you could go with yellow, peach, lavender or a mauve or dusty rose color. Good luck & have fun with your painting project. Let us know what you decide & put a photo of before & after - if possible.
I also thought of blue, and then also thought of white, as then you could pick towels and a shower curtain in any color you liked -- bright and bold -- whatever was popular, and could change the color scheme whenever you liked, just by changing the color of towels. You could also go with a slightly darker sandy brown color, which is a nice neutral. And then you would be able to choose a pretty wide range of towel colors as well -- sage green, dusty rose, soft dark blue , etc. -- or even a combination of colors based on a shower curtain that had a pattern you liked.
A blue that will go with the bedroom might work. White towels, etc. for contrast or pick up another color from your bedroom, even a green to tie the two rooms together. Hope this helps.
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