Get the total value of the users vote in Rate module
You need to do custom coding to achieve above functionality. Assigning User Badges on Cron run will be a good option. Below steps will help you to solve the problem.


Create a custom module
Implement hook_cron
Get list of users who doesn't have comment votes badge.
Get above list of users comment score using custom query
Loop through results and check for your condition to assign badge
Assign badge using user-badges API. Look into user badges module where it assigns badge to user to figure out logic to assign badge!


Hope it helps :-)