It's a dining room. How about just removing the busted shade and enjoying the view?

Baseboard heating?

Yes, baseboard heating.

All the windows throughout the entire house have the same headers. I’d like to just enjoy the view but, unfortunately, we have neighbours in every direction. And close proximity.

Maybe no curtains but 3 separate roman shades in whatever style you are going for.

"...unfortunately, we have neighbours in every direction. And close proximity."

Remember the "spotlight effect" when it comes to the neighbors: https://blogs.berkeley.edu/2012/06/05/the-spotlight-effect/

we have similar heads and did the curtain rods like this.

I'm on board with groveraxle. I would hang them higher than the windows, just a touch under the crown molding, and hang them wider than the width of the window. 6-8 inches from the top of your window and 6-8 inches wider than your window will give you function of the curtains while not impeding your view. Just make sure you take into consideration buying longer curtains so they reach the floor. You can go for a flooded look or you can easily hem them if desired using no-sew iron-on tape. Enjoy your beautiful new space!

better check the depth of the stool on top of the head before doing this.

Oh, right! Good thinking!