Hello!
I used to work for the importer- in fact I believe we spoke when you first got the amp about how it is biased- though I could be wrong on that. Either way unfortunately not the first person to have issues with tubes picking up wifi noise. Definitely not just a Synthesis thing, Ive seen it happen on a variety of different brand products.
The first thing to do is always try moving the router if you can, since you already did that the signal must be coming from the switch. A good way to check this, if possible, is to move the switch around the amp and see if there is any change in the noise from the amp. Sometimes you get lucky and it can be as simple as turning the switch 90 degrees and suddenly its dead quiet- Ive driven an hour each way out to customers houses and fixed it just like that.
If you move it around and the noise gets louder/quieter then you know its the switch causing the issue. If the noise doesn't change at all then it has to be a different switch or something else.
If it is a switch then there are a couple different solutions you could try:
a: You can move the internet equipment out of the room or farther away and just run a long ethernet cable to you streamer.
b: You can try a different switch, I wouldn't say it needs to be a fancy audiophile switch necessarily just something that is shielded better than it sounds like your current one is.
c: You can also try replacing the input tubes on the amplifier, the small 12AX7 tubes, as sometimes- rarely- certain small signal tubes happen to be more susceptible to RF noise than others. If you went that route I would recommend trying a different brand of tube than whatever stock is as they often have different construction internally.
Hope this is helpful!