@herculepirate Part of that will depend on where you have your actual music files stored. In Mint the database files are located in ~/.local/share/strawberry/strawberry and the configuration in ~/.config/strawberry. As long as the music files themselves are stored in the same location on the Suse computer (typically in $HOME/Music), you should be able to just drop those directories in your new home directory.
How big is your library? That seems like an insanely long time to read generate the database. I have around 4k albums and it takes less than an hour to do a full rescan.