Is it possible to disable caching of an option when using w3 total cache?

okay, here we go. try this: in your functions.php modify the behaviour of ai1ec_options:

$ai1ec_options = get_option('ai1ec_options');
delete_option('ai1ec_options');
add_option('ai1ec_options', $ai1ec_options, '', 'no'); // thanks for your suggestion :)

be careful though, as you might lose your set options, so be sure to get them from the database first. or create a backup option. afterwards, clear the caches and try again.