I started with a T/C, but when I began shooting a lot of off hand matches, I learned that a T/C does okay from the bench for me and will do well in a deer stand, but it is not very good for off hand. I found that the stock needed more drop for me to shoot to my potential. I built a gun with more drop and which fit me better in the length of pull. I was far more successful because everything allowed me to use the gun correctly rather than my trying to work around the incorrect structure of a gun.
On the other hand, my friend Round Ball does quite well with T/Cs and seems to have no need of a custom gun, so it might work for you.
CS