Yes Sir, I've hunted off and on with a handgun for the last 30 or so years and exclusively the last 5 yrs. My longest shot was on a doe in Alabama back in 1998 with a TC Encore in 260 Rem. about 130-40 yds. Most have been less than 75 yds. My battery today consists of a Ruger SRH in 41 mag. and a Ruger GP100 in 357 mag. and a TC Contender in 35 Rem. The Ruger Blackhawk is a fine handgun and in 44 mag will do you a good job. Is it the standard Blackhawk of the Hunter version. The Hunter version to seems a better hunting handgun but both will work. My advice to you is to find a load it likes and practice,practice, practice till you can keep all six shots in a 8" paper plate at the distance you feel confident in. For some it's 50 yds for others it may be 100 yds. I personally practice at 100 yds with all my hunting handguns. Optics help ALOT, be it a red dot or scope. Jack Weigand at Wiegand scope mounts, makes a real good mount for the Ruger. I shoot scope on all my guns. I also reload my handgun ammo as well.
Good luck with your Ruger and I hope you are successful if you so choose to hunt with a handgun.