UPDATE 2 :
Time for a report. Since I’ve received some power supplies or borrowed other devices to test against the noise, here’s a report about what I’ve found out to work (/!\ for my particular issue, it might not work in your specific case) :
- Gonine 12V Alimentation 2A 24W AC 100-240V à DC 12V : https://amzn.eu/d/3Xx6CDt
100% : Worked right away. Comes with a nice on/off switch (but I disconnect the PS either way) - Signcomplex LED Schaltnetzteil 12V DC 2A : https://amzn.eu/d/3QaOcL2
100% : Worked right away. This one was already recommand here earlier. And … still effective ^^ - Palmer RIVER iller : https://amzn.eu/d/ddN9G1A
85~90% : Works but if I get close to the speakers, I can slightly hear the noise in the background. Pricey but compact. - Millenium DI-E : Millenium DI-E – Thomann France
95-100% : Worked right away. My sound is a bit less louder than using a PS. No idea why. - Behringer DI400P : https://amzn.eu/d/09IUp6x
95-100% : Worked right away. Same as the Millenium but it’s hardly noticeable too.
The DI box (Thank you again Jandalf for your advices and help) seems one of the best option to me here, since you get to keep the original PS and its intended use. It could also serves other purposes. I tend to prefer using the Gonine thingy since I get less messy cables everywhere. Both are inexpensive options (you still need a specific cable for the DI box, but it’s inexpensive too).