Drupal 7 site crashed after enabling module - No DB backup. What do?
The mention of "I do not have a backup of the DB" in the question/title makes it clear that you want to roll-back the change as opposed to debugging and making the modules work where it is - for that, you do not need a backup, but access to the code and logs.


Another way to bypass the blog module, an alternative to what @Jimajamma said is to remove the module from the filesystem. 
Remember to clear the cache and ideally rebuilt the module registry after these steps.


drush cc all --yes;
drush rr;