What you could try is to ask the user for the name of an album as a string and then search for an album with this name.
This used to work in Photos 1 to 4, but is broken in Photos 5 on Catalina. Is the system version macOS 10.14 given below your question still current?
In the early versions of Photos you can get a list of all albums like this:
tell application "Photos"
set allalbums to the albums
-- set theseNames to name of albums
end tell
return (the count of allalbums)-- for example
Then compare the string with the album name to the names of the albums in the list.
set foundAlbums to (albums whose name is ... )
This will still not select the album, but you can work on the album in the script - add photos to the album, play it as a slideshow, etc.