you got the right idea add in a scraper -beveled putty knife ,try a little heat some solvent -,a palm sander,that's it.Patience is the key,you pretty much got it.

I was hoping for a magical solution. Seems it's just time and effort.

a damp towel and an iron..steaming it, especially if you have an exposed edge..the glue at that time was water soluble.

It should be easier to remove with a scraper after the soak.
My husband used to remove great old veneers from stuff that was no good otherwise. Always worked.
If you use a heat gun, be careful, you could burn the wood if you get too close.

Never did this but I am told that you can, with a damp cloth between, iron the wood to soften the glue.
Remember that there will always be a residue of glue to remove before you start the refinishing job.