Did you try the Beta 10 Driver? I use it and it works great in Daz Studio. I have not tried it in Bryce, but it has advanced controls and macros that allow you to map it to work in virtually any program. Here is the link where you can download the latest version.
I wasn’t able to locate that particular driver. It appears that it all depends on the mouse-type you have and what operating system. Having the driver built yourself for the application (i.e. DAZ 3D would have to write it for Bryce) would be best; as they did for DS (dz3dconnexion.dll).
If you go to 3DConnexion.com, however the mouse over “Supported Software.” A sub-menu will pop up. In the sub-menu, all the way over to the right you will see an option that says 3DxLabs. Click on that and it will take you to the page with the driver. Of course, you would then choose the one specific for your operating system. It says that it should be compatible with the Space Navigator, although most of the 3D Devices that 3DConnexion currently has on the market will work with it. This beta device driver software is very powerful and allows you to map out your own configurations depending on the program. I would bet that you could get it working in Bryce with the proper configuration. There is also a lot of documentation and help for it in the 3DConnexion forums.