I have looked what bleachbit is and it seems to be something like CCleaner for Windows.
I have never used those tools and I thing it is even less needed when running Qubes as it is very easy to use disposable VMs which will clean up everything just because the machine disappears after usage.
If I need to remove specific data I like to find out where the data is stored and then just write a script to remove data.
It's easy to find out where data is stored by creating checksums of your system, then run the application and look which files have been tampered.
- O