One Streamer Wired to Two Systems?

Sorry if I’m setting up for a”Duh!!” moment but here goes...

I’ve got a Node 2i that’s currently connected thru a Schiit Loki Mini + to my 2 channel system. I recently incorporated a wholly separate HT system into the same audio cabinet the 2 channel rig occupies and would like the ability to run the Node 2i thru this HT system on occasion (not concurrently with the 2 channel system). I don’t have any sort of “HT Pass-Thru” capability with the base model PrimaLuna integrated which is the heart of my 2 channel system and I don’t want to unplug/replug the streamer between systems before each use. Is there a “no sound quality tradeoff solution” in the form of some sort of switch box etc. that I could acquire to accomplish this and, if so, what brand/model of such a device would you recommend under $500 US?

Thanks in advance.