It might be an idea to leave 1 or 2 channels free for just the stereo mix. 
 
I.e. Rather than use all of the allocated busses, keep all your final group summing fed to to last stereo bus, so it's just a case of soloing the one bus. Rather than having to bypass each one everytime. This will make your mix balance and monoaural checks quicker too.
 

interpolated
It might be an idea to leave 1 or 2 channels free for just the stereo mix. 
 
I.e. Rather than use all of the allocated busses, keep all your final group summing fed to to last stereo bus, so it's just a case of soloing the one bus. Rather than having to bypass each one everytime. This will make your mix balance and monoaural checks quicker too.
 

Hi there,
 
I'm not quite following you. What I have set up is a track that receives the Midas return, and this track sends to my 2Bus (first bus). It's a bit complicated from there as I have Sends on the 2 bus to a bus that goes to the Adams and another bus that goes to the Avantones. I have the Mute keys of the two busses linked but opposite, and that is mapped to a button on a Novation Launch Control. I can use that button to toggle between the sets of speakers.
 
Is there a better way to handle this?

You can get dedicated bus controllers or monitor mix matrices. Unless you already own one, I'm not sure what to suggest. I would try to decide what is your summing point and take it from there. It sounds like your taking a long trip for a shortcut to me. There's always an easier way.
 
For example, if I was using 12 track/4 bus mixer I would always keep in mind my main output will be my summing point. So in  a way, you could split that to a monitor control which allows you hear your mix through different speakers without sending multiple group sends. If that makes sense.
 
 

I looked at the Midas website, it would appear to be a middle interface which relies on others to produce the sound. Like you said, live situations.
 
I wish I had the money and expertise for that stuff and well I've never needed anything so cumbersome or complex to be honest to date. Good luck in your quest for an answer. But seriously, I think you may find the answer on your Midas manual for different configurations or even ask the makers of the interface themselves.