How to override BlobContainer in AzureProvider

I am trying to use RadCloudUploader with Azure Media Services. I need to override the BlobContainer per uploaded file so that I can upload each into their own container in azure blob storage (due to the way Azure Media Services works). I have created a custom provider and custom upload handler but the problem is how to get the azure container name into the AzureProvider Initialize method.

Here is how the processing needs to work:

1. Get Azure Media Services container name
2. Upload each selected file into the correct blob container (name comes from step 1)
3. Do some additional processing after each file has uploaded (database work, additional Azure Media Services API stuff, etc.)

Step 2 is the problem. I just need to be able to specify the container name (not the folder path, as per the Handler's SetKeyName override). Thanks for any help, I've been going a bit crazy on this one.