Hello @crouchingbruin

Thank you for reaching out and I am happy to help!
If you want to delete the pages manually that is one thing and to flush the cache manually you can use any given command in thge W3 Total Cache to purge the cache of specific feature – Page Cache, Minify, Opcache, DB Cache or Object Cache
If you want to delete the cache manually as @vespino mentioned the files are created in wp-content/cache/ folder
Now depending on the features used, in the /cache/ folder there are folders created like disk_enhanced, Minify, db, object.
You can delete all of them at once or delete the specific folder.
Just to add, if you are using Object Cahcing and DB Cahcing od disk, it’s advisable to disable it or use Redis or Memcached.

I hope this helps!

Thanks!