I've had a few of both - Super Blackhawks, Blackhawks, Bisleys, and two Redhawks. I have found the single action grip frames to fit me better, and would give them an edge in accuracy; however, the single actions were worked over by good smiths, Horvath and Clements, so it might not be a fair comparison. The best grip for me was the Bisley with Eagle gunfighter style (slimmer) grips.
I had a 5.5" Redhawk and could never get to like the balance and the grip. I didn't shoot it very well either. I finally got a 4" Redhawk with the new style Hogue grip and I consider it the best of the Redhawks. To me, the 4" RH has made a whole new "sidearm" possible out of the Redhawk - cutting down the size and better handling.
I never tried any aftermarket grips on the 5.5" Redhawk, I believe some of the Hogue grip styles might have changed my mind. The Super Redhawks have a similar grip to the GP-100 d/a revolvers, a grip that I always found to be excellent. For hunting use, I think the Super RHs look pretty good, probably would be my choice for strictly hunting.
The grips, balance, etc. are a subjective thing - but with handguns, the subjective things do have some impact on practical accuracy. For hunting, I would probably consider a model with the integral scope mounts such as Blackhawk hunter or the Super RH. For sidearm in the woods, I like my 4" RH. For accuracy, I believe the Super RH, then the S/A models, then the RH in that order, but all will give useful hunting accuracy if you do your part - just my general experience, nothing scientific. The D/A are certainly faster and less tedious to load & unload.