I'd add all the tiger barbs you want first wait a few days to a week the bio load on them isn't too large so you BB should catch up fairly quickly, then add in the cories at least 5 since they enjoy the company, again give the BB at least 4 - 7 days to catch up with the bio load then you can add the BN into the tank then sit back and enjoy.
I used this system forever and it's worked out for me with no issues never had any spikes in the water parameters I've also found that it gives the fish time to adjust to their new environment and each other by introducing smaller groups into the tank.
I try not to introduce more then 6 fish at a time depending on size and species my rare exception are neon tetras I'll put 12 at a time in the tank since they tend to do better in larger groups and their bio load is fairly small, rainbow fish or any fish 2" or more I try to only put 3 in at a time.