How about an integration to the Relution App Management Tool? I think this could be a good combination espacially for bigger companies with a lot of apps, which are build in bitrise and then managed and distributed by Relution.
Check it out or contact me for further information
Definitely, we love integrations with every other service! 
I did a quick check on your site and it seems that the integration could be as simple as a Build Step, similar to what we have to HockeyApp for example https://github.com/bitrise-io/steps-hockeyapp-deploy - step development guides/dosc: http://devcenter.bitrise.io/bitrise-cli/create-your-own-step/