Get a 1GB version. The max main memory you can assign for your APU in your motherboard BIOS is likely 1GB so having 2GB on the video card will be overkill. The type of memory on the video card has nothing to do with the type of memory you have on the motherboard, nor with CFing the APU with the GPU.
So, I would recommend sticking with a 1GB HD6670. Whether using GDDR3 or GDDR5 on the HD6670, get the GDDR2 (you can still get the 2GB version if you want because if you decide not to CF with the APU, you'll have the greater capability).
Please note this, when you set up CF with the APU and the GPU (HD6670), the APU is the primary video device. That means you connect the monitor to your motherboard's video output. The HD6670 will be the secondary device (also why the type of memory is not an issue).
Good luck!