Usually with a white screen issue, that points to a theme problem. In my experience, that relates to:
The theme folder isn’t in the right place or isn’t named correctly
The DB wasn’t imported correctly or doesn’t have the right theme name within it.
This item stands out to me – I wouldn’t think that you need to change the wp-config.php file. If you have the database sql file downloaded, you should be able to import it into the local site by doing:
Right-click on the site in Local and select “Open Site Shell”