Instead of burning HBD from the DAO, wouldn't it be better to sort of recycle it into the daily reward pool thereby decreasing the amount of new Hive/HBD created by the blockchain.
Please note that I'm a bit rusty here. I've not really read in details the proposal so my suggestion could be a bit off but I will hope you are able to get the idea.
There isn't any mechanism to access the reward pool.