I have a rule: no exposed glass anywhere in the listening room. So all glass on the back wall will be covered with sound absorbing material.
Well, that's certainly a less expensive route. Good safety glass can easily hit $300/sqft. But it sounds at least as good as wood and so far I'd say better. I would at least listen once before you cover the back wall, to see how much you like the dipole. I'd expect the HF to be off, with regular windows.
When I replaced the 6/6 double hung window sashes in our historic house, I was told that I could not install double-paned glass, so I had custom single pane, true divided 6/6 sashes made with individual thick laminated glass panes. They are very heavy and really block the outside noise from the listening room. These openings are covered with wooden louvered blinds that I adjust so that they reflect the direct sound down toward the thick carpet. I was surprised how effective this solution turned out.
Even though my solution is nothing like Ron's situation and our rooms could not be more different, I mention it for general interest regarding glass types. Small, individual laminated glass panes work really well in my circumstance by both blocking outside noise and by not ringing excessively.
Nice. How thick? I've been playing with some around 1/2". Heavy? oh man... I literally just about had a hernia (warm feeling that accompanies one came). They certainly stop sound. If you tap on them you get nothing but the sound of a finger.
Reflections can be good or bad. In the dipole situation so long as the time alignment isn't bad, it can be just fine to have direct reflections. Although you may still end up with some side ones you wish to treat; that are at a different point than the main speakers side 1st reflection. In your case with it not being fullrange they tend to not be so beneficial as it's more of a poorly EQ'd ambiance since it isn't fullrange for what wraps around the bookshelves style speaker.