The biggest advantage of CF is price, mass production. The biggest disadvantage of CF is no warning of pending stress failure. The biggest advantage of TI is durability. The biggest disadvantage of TI is price.
Beyond that, for me the Ti ride seems better to me. More predictable and not as harsh as CF. It just differs a lot on the bike, the geometry and your body geometry.
Have fun, and let us know what you end up with.