Sunset
Give me a museum and I'll fill it. (Picasso) Give me a forum ...
While it was not a popcorn ceiling, we had a house we restored/remodeled that had ceilings with cracked plaster and peeling paint. We just covered them with 5/16" wood. It started off as knotty pine tongue-and-groove boards from Home Depot. They came in a package that was a little over $1 per square foot. (in 2014 prices) We primed and painted them white to get the look of vintage bead-board ceilings. I put them up with an air-powered brad nailer and added crown molding for a classic look.
Depending on the size of the 'popcorn' the wood might be able to cover it smoothly.
Just my 2¢ based on what we did in the past. Sorry about the third photo. I could not get it to rotate as I had the camera rotated when I snapped the photo.
Great job on the ceiling, really fits in with the style (old) of the house.