I'm getting my content from an Apple TV, so there aren't RCAs to plug into the integrated amp. Just HDMI to the AVR
That's a shame. Oh well. Use the other option suggested above. It will suck. But it will work.
At some point you should find some way to get a clean signal direct into the Majestic, uncorrupted by AVR, just to hear and understand what HT is doing to the sound. Its just such a waste to pay for what seems to be a quite good integrated and then feed it through a AVR, easily the worst audio quality in all of audio.
AVRs in general, I mean. Not the one you have. You may have the best AVR on the market. Talking about all of them. Have a listen. You will see.