You may try to change the following constants in the inc/params.inc.php file:

//--- Main Pathes ---//

define('BX_DIRECTORY_PATH_INC', BX_DIRECTORY_PATH_ROOT . 'inc/');

define('BX_DIRECTORY_PATH_BASE', BX_DIRECTORY_PATH_ROOT . 'template/');

define('BX_DIRECTORY_PATH_CACHE', BX_DIRECTORY_PATH_ROOT . 'cache/');

define('BX_DIRECTORY_PATH_CACHE_PUBLIC', BX_DIRECTORY_PATH_ROOT . 'cache_public/');

define('BX_DIRECTORY_PATH_CLASSES', BX_DIRECTORY_PATH_ROOT . 'inc/classes/');

define('BX_DIRECTORY_PATH_PLUGINS', BX_DIRECTORY_PATH_ROOT . 'plugins/');

define('BX_DIRECTORY_PATH_PLUGINS_PUBLIC', BX_DIRECTORY_PATH_ROOT . 'plugins_public/');

define('BX_DIRECTORY_PATH_MODULES', BX_DIRECTORY_PATH_ROOT . 'modules/');

define('BX_DIRECTORY_PATH_TMP', BX_DIRECTORY_PATH_ROOT . 'tmp/');

define('BX_DIRECTORY_PATH_LOGS', BX_DIRECTORY_PATH_ROOT . 'logs/');

define('BX_DIRECTORY_STORAGE', BX_DIRECTORY_PATH_ROOT . 'storage/');

But note that you will need to keep it before every update.