I would assume that these hubs use DT Swiss’ star-ratchet engagement system.
From research, ensuring they are greased is the ONLY method I am have come across. Many sources recommend not over-greasing the star ratchet engagement faces for fear that it may affect the actual engagement, but others have been able load up some additional grease and still avoid this issue while providing some additional quieting. Regardless, it would be prudent to use the actual star ratchet grease, or a suitable substitute.
One other area you may play with is the number of engagement points your star ratchet system has. Many stock DT Swiss hubs come with 18-tooth star ratchets. However, You can swap these out for 24, 36, and even 54-tooth versions as well. You can easily determine what the tooth count of your current star ratchets are by counting the number of clicks your cassette makes in one complete turn of the freehub. The different number of engagement points per rotation will definitely change the pitch you hear, and possibly the volume. The audible harmonics of your wheel could influence this as well, but I believe that is mostly wishful thinking. The 18’s are more of a click whereas the 54’s will be more of a buzz. They are pricey, however, roughly $100 a set, so I would see if you could try a set from a buddy and ensuring that the pitch changes more to your liking before committing to a purchase.
A bonus for the higher number of engagement teeth is that there is less of a dead/flat spot before the freewheel engages (I swapped out for some 36 tooth star ratchets for the road and gravel steeds, and like the quicker engagement there, and I am not as sensitive to the noise as you are, but I cannot claim that they are loud nor silent). Wish I had a more definitive solution.