I deleted my earlier post concerning the WO Binoviewer. Today I was able to reach focus with the included barlow. Really tricky getting everything just right. Honestly I can't say it was better than mono. I spent a lot of time getting both eyepieces focused, but it is not better than mono. Others perhaps, not me. Perhaps it is do to my vision, I have an epiretinal membrane in my right eye, so that may be the issue.
I've also had trouble seeing a tremendous improvement using a BV over mono but I do find binoviewing is more relaxed and I use it almost exclusively.
At higher powers, binoviewing is trickier. Getting your binoviewer as close to the focuser as possible reduces the in-travel needed to get to focus and allows you to use a lower power Barlow to get a full disc low power view.
The eyepiece holder on your Lunt blocking filter is a right hand thread and can be removed by unscrewing it. It won't hurt anything to remove it. You might be able to attach your binoviewer directly to the blocking filter and come to focus without a Barlow.
If not, a Baader 7.5mm adapter will attach directly to your Lunt blocking filter and will allow just enough clearance to place a Baader GPC (Barlow) as close as possible to the Lunt blocking filter. The Baader GPCs come in X1.25, X1.7 and X2.6 powers. They work well, are small, light and cost about $125. I think the 7.5mm extension is about $30.
In these photos I'm adapting a camera and Baader GPC to the Lunt blocking filter but it works the same for any binoviewer with a T2 connection.