Maybe something of an "Indiana Jones" solution (think guy with scimitar, guy with gun) if your are using BAIB in midi only mode, but you could use something like Sonar or, I presume, Reaper or similar as an intermediary. Use a virtual midi cable to route outputs from BAIB to your DAW, and insert the VSTi on the relevant midi tracks. Set up Amplitube on another track, and route your hardware input to that. That should take care of the conflicting drivers and the latency. You can also use the DAWs mixer, with judicious use of compressors / peak limiters, to balance the track much more easily than you could with two outputs. An advantage with this route is that you are not limited to Forte for your midi stuff. You can use any VSTi you choose on any track.

Just a thought.

Brian