Arunmrao
Because the free energy of formation of TiN is much greater(in a negative sense) than that of TiC, TiC forms only after virtually all the N has been taken up as TiN. Incidentally, both oxygen and sulfur also combine with Ti more readily than does carbon. So, you have to make sure you have enough Ti to tie up all the oxygen, sulfur, nitrogen, if you want to prevent carbide formation.
In your case I would deoxidize with something stronger than Si/Mn and make sure to use a good de-sulfurizing slag.
If you keep exposure to the atmoshere at a minimum, you will keep nitrogen pick-up under control.
Consider using Ti scrap if you can get it. It's usually Ti/Al alloy and the aluminum protects the Ti from oxidation.