Foxhound is the closest ROM available [as possibly Wanam which i dislike] to stock S4 rom.
Install the "Slim" version of the rom and it does not install any of the bloatware. You can always download any Samsung stuff later if you need to through the Over The Air Update. Its themed like Stock Android too.
Foxhound + Nova Launcher + Widget Locker = no TW!
There is no hint of TW on my phone because i hate it!
Google Edition Rom sounds like what you need. I've tried it and it is BASIC. So basic that i got rid of it after a day. Its fast but that's because its basic. The good thing about it is that the camera is still great unlike any of the AOSP roms.
If you want to keep as many of the S4 features then you want a TW based rom such as Fox Hound or Wanam. These retain the features of the S4 but remove the bloatware. Fox Hound is leading the charge with lots of updates but Wanam is dragging its heals in recent months.
FH:
http://forum.xda-developers.com/showthread.php?t=2303239