Free recoil is a funtion of bullet weight, powder charge weight, velocity and weight of the gun. Add bullet weight, recoil increases. Add powder weight, recoil increases. Add velocity, recoil increases. Decrease gun weight, recoil increases.
Most mercury filled recoil reduces "imitate" the physics of an automatic, but anyone who has fired a recoil operated shotgun such as the Browning A-5 or Reimington 11-48's know that a gas operated gun is far more user friendly than the recoiling mass of the action/barrel alone.
In the end all we can do to tame recoil is add weight to the gun, reduce velocity, bullet weight aand powder charge weight. One cannot imagine the difference in recoil from a 405 grain bullet moving at 1200 fps pushed by 13-15 grains of Unique and the same bullet at the same velocity pushed my 30 or so grains of 3031. Those who advocate using heavy charges of slow powder to effect a felt reduction in recoil simply haven't shot a 45-70 using 405 grain bullets and powders like Unique or 2400.
For practice and plinking shooting I highly reccomend using 13 to 15 grains of Unique, rifle primers and a bullet weighing not more than 350 grains. These loads are quite pleasant to shoot, very accurate and give the shooter lots of comfortable trigger time with the rifle. Shooting of heavier loads designed with hunting in mind can be done in the month or so prior to hunting season and should be used from hunting positions like sitting and standing. Those positions not only mimick actual feild use of the load, they also allow the body to move with the recoil rather than having to absorb it as benchshooting requires.
There are several sites that offer ballicstic function calculators, recoil almost always being amoung them. Spend some time on one of these calculators playing with the variables of bullet weight, powder charge, velocity and gun weight to see what the real differences are load to load.
Try
www.realguns.com or
www.handloads.comAs to the Handi, the other best solution is to get a storearm/forearm for the survival model and fill the available spaces for spare shells with shot. It is easy to get a gun that weighs in the neighbor hood of 10.5 pounds with shot in both the butt stock and storearm. That is some significant recoil reduction. The shot can always be removed for carrying the gun afield as recoil will hardly ever be noticed when shooting at game. I also have a strong preference to the straight stock of the H&R shotguns rather than the pistol gripped stock of the Handi Rifle.