Now, let me tell you, how it went with me and how it ended up:
First, I bought Sound Blaster Z, the cheapest, bulk version without EMI shield. It was kinda nice, but not that much satisfying as I expected, also, I wanted the external module control.
So I went and bought Sound Blaster ZxR. Now, that was better, but I had issues with hiss/noise, especially when the GPU was working (playing game). No matter where I've put the ZxR card, above, or under the GPU, the noise was there and EMI shield didn't help at all. Also, I had issue (which I did not realize before) that I have also PS4 and it was kinda hard to have both PC and PS4 reasonably plugged into my sound system, also, PS4 was unable to benefit from the ZxR card obviously. And the last thing, I somewhat could not justify the price of ZxR, especially considering the (lack of) features and issues I had.
Then, I returned the ZxR card too and bought Sound Blaster X7.
And I kept it and could not be happier.
It's really great, I have PC, PS4 and mobile phone connected at the same time to it, all benefit from X7 sound and features, all can actually play simultaneously at the same time - pretty unique feature! My headphones and speakers can stay connected all the time to it and I can just flip the switch in X7 software to switch between output. Not to mention that X7 looks pretty neat on my desk (I just wish they didn't replace red design elements with gold in the final retail version, but it's definitely not a dealbreaker).
I bought X7 for just a bit more than the ZxR cost me, so it's a win win (I paid 250USD for brand new X7 with 2 year warranty).
TLDR: X7 is basically external, significantly improved (more features) version of ZxR, that will not have issues with interference.
Maybe my experience will help you.
If you got no noise with SB Z(no shield) and noise with ZxR(with shield) then definitely something is wrong. Most probably you got a dud. ZxR is one of the quietest internal sound cards.