I think you've opened a great can of worms here
As others have alluded, there's going to be a difference in the number of countries, the number of stamp-issuing entities, etc.
When thinking about your project, my first reaction was that I would probably organize the collection not alphabetically, but by continent. But then, what would I do with the Falklands? Geographically, it's part of South America, politically, it's a territory of the U.K. So, my plan started falling apart.
Now I'm thinking alphabetic would be best. I'd use a three-ring binder, one country per page. Do the easy ones first and as you progess, you can make decisions about Dead Dountries, dependencies, etc. You'll never have to "re-do" your plan because you can insert new pages where appropriate.
In my short time here, I've gathered that a lot of folks make their own album pages. It should be pretty straightforward to design a template that would give your album consistency. In my mind, I see a title with the country name at the top, then a paragraph or two of basic info about the country; below that, a mounted stamp, then a paragraph about the stamp itself.
If you later decide to collect an entire country, you could use these "single stamp" pages as a front cover or title page for the whole-country collection. Possibilities are endless.
Finally, one more thing -- a resource -- for learning about countries. For a good overview, I like to use the CIA World Factbook. The online version is: https://www.cia.gov/library/publica...k/index.html
Thanks for a thought-provoking thread.