I would move up . The 5 1/2 " SW 19 can kill deer ,but it will wear out quickly with FULL power loads and range muy be kept to 50 yd or less and shot placement must be perfict.
The 41 mag is a great deer round . Practice !!!!!!!!!!!!!!!!!!!!
I use a Ruger Redhawlk in 44 mag ,a Ruger super redhawlk in 454 and a TC Contender in 357 MAX