I did have noise issues and I discussed them in this thread a week or two ago but my noise was coming from my DAC to the 339i vía a ground loop. It bothered the heck outta me and was more pronounced in my low impedance headphones.
Do you get the noise when you just plug into the 339i? If not it may be introduced from the 339i to the Marantz,
If you don’t mind what looks like a cheap add-on but worked for me you could try this and put it on the RCA cable from the 339i to the Marantz. It will stop the ground loop hum and doesn’t affect the sound for me.
https://www.amazon.com/gp/product/B077Y5DLBB/ref=ppx_yo_dt_b_asin_title_o05_s00?ie=UTF8&psc=1
It cleared my noise problem right up and my system has been relatively quiet with all tubes since.
I say relative because if you turn the 339i way up you will still hear the tube hum but that is natural.
You also have the option of not using the 339i as a preamp but it is up to you.
Just tried this and does not help. Sad!
I can hear from the headphone driver when I tap the LF 339i surface. Must be some ground loop issue. But it is so weird.
I guess the LF 339i preamp out was not super mature?