Jdodmead,
I had the same problem with a pair of early vintage NuForce Reference 8 amps that caused noise in my phono stage. In fact I ended up selling that phono stage thinking it had some issues, but now I realize that it was the RFI from the NuForce amps that caused the noise. This was an expensive solid-state phono preamp. In that same system with the NuForce amps, a Musical Surroundings Phonomena phono stage worked fine -- I guess it had better shielding. Also, The TAD-150 tube phono seemed to be okay.
You didn't say which NuForce amps you had or which vintage they are. If they are the older Reference 8 amps, (below version 8.02) they probably don't have the RFI chokes on the speaker output wiring, in which case you can return them to NuForce and have the RFI supressor chokes installed.
If they are a newer model, and they have the chokes (you can see them if you remove the covers) then another approach would be to move the NuForce amps as physically far away from the BAT phono as you can manage. Perhaps use long interconnects and put them on the floor by the speakers. I have another system set up that way and there is no phono interference at all. But that one uses a MM phono preamp and not the higher gain MC phono amp. I think that if your NuForce amps have the supression chokes and you separate them from the BAT phono by a fair distance you shouldn't have any interference issues.
Good luck, and let me know how you make out.