Hello Doug,
I am sorry about the issue you are experiencing and I am happy to help!
First, we need to determine which option in the W3 Total Cache may be causing this. Can you please disable the settings one by one in Performance>general settings, save the settings and purge the cache after each setting is disabled, and see which one might be causing the issue?
Since it’s a logo issue, please start with the Lazyloading option, disable it save all settings and purge the cache.
If the issue is related to the Lazyload, you can re-enable Lazyloading, and add the URL of the logo image in Performance>User Experience>Exclude words. Again make sure to save all settings and purge the cache.
Let me know if this helps!
Thanks!