A different amp with the Qutest could be an improvement, but not as much as the TT2. IMO in your case the V200 would just bring a different taste. I used Qutest with CMA600i and Taurus MKII. The Taurus was a clear improvement in clarity and bass/treble extension, authority to the 600i. Still, my TT2 is on another level compared to both these Qutest combos.
I tried the Taurus with the TT2 too just out of curiosity and I found it was just degrading the sound, killing transparency, balance and resolution (added distortion).
Go for TT2 if you can afford it. It was a relatively big investment for me too, but keeping TT2 as my DAC/amp for headphone listening for the years to come might actually be a more budget conscious decision instead of buying and selling other DACs and amps in the 1-2K category.
Up to 4K it doesn't really get better than the TT2.