Removing the white screen can be very time consuming process! I mean finding the couse of it! I've been playing around a lot! So here what I did:
1. Delete plugin folder via ftp software (I use Filezilla) and all the other files like:
wp-content/advanced-cache.php
wp-content/db.php
wp-content/w3tc/
wp-content/w3-total-cache-config.php
wp-content/plugins/w3-total-cache/
2. Delete WT3 additions in the wp-config.php - I deleted
define('COOKIE_DOMAIN', 'mysite.com'); // Added by W3 Total Cache
3. Find every .htaccess file in your site (I found two), from the wp folder to the site root, and remove the WT3 additions. I deleted this line:
# BEGIN W3TC Browser Cache
<IfModule mod_deflate.c>
<IfModule mod_headers.c>
Header append Vary User-Agent env=!dont-vary
</IfModule>
AddOutputFilterByType DEFLATE text/css text/x-component application/x-javascript application/javascript text/javascript text/x-js text/html text/richtext image/svg+xml text/plain text/xsd text/xsl text/xml image/x-icon application/json
<IfModule mod_mime.c>
# DEFLATE by extension
AddOutputFilter DEFLATE js css htm html xml
</IfModule>
</IfModule>
# END W3TC Browser Cache
4. Install the plugin again. Upload and refresh.
Overall W3TC leaves a huge mess after uninstall! Even it's creator - Frederick Townes says so. So please do these 4 steps above and hopefully all will be fine. Try to install the plugin again - if no luck - use another one!