KB : lots of folks use hard cast, some use jacketed.... they will both work well.. if you want to use jacketed and get expansion velocity must be kept fairly high.. with the cast you will get full penetration if hard cast are used...
lighter faster bullets of a hollow point will likely give some expansion, but it is generallly not needed. and it is possible that they can fail to penetrate fully producing an exit wound; only once, but : I have seen a 180 grain hollowpoint hit bone and not exit.. killed the deer though.. I firmly beleive that penetration through and through will do the job.. and the 44 is big enough... 240 to 300 grains of lead cast hard will penetrate end to end if necessary... that is the choice I go for : penetration all the way through.. I opt to have a round that will go through the vitals whether I have a perfect broadside shot or not...
I think you will find that all reasonable choices will work with decent shot placement... deer are not hard to kill with a good shot in the vitals.
I have used non expanding bullets on the few I have taken.
good luck with your choice... a lot of folks will chime in, lots of proponents of both around here...the majority goes with cast, I would wager... but it is just a choice...
there is no such thing as cast bullet failure, as it is designed to pentrate bone and flesh completely..
dk