For what you've described using it for, I'd say either the .44 or the .357. Both will be more than adequate for home defense, and both gain significantly from the longer barrel over their handgun counterparts.
Arguably, the .357 is the most 'flexible' option, since with low-end .38s it can be used for small game, and with heavy .357 loads is suitable for larger game (whitetails) out to medium range.
If that flexibility isn't as important to you, then the .44 certainly offers more punch and longer ranges.
The .30-30 is a classic choice for a deer rifle, and would offer more power and greater range over the .44.
I've owned and shot all three, and wouldn't gainsay another's choice. There's now a .44 in my safe, though.
Good luck making your selection!