I have a 44 mag Handi with a 22" barrel and I find its recoil very manageable even with 240 gr - maximaum loads. I am fairly impervious to recoil at levels under 12 ga 3" slugs EQUIVALENT so I find it acceptable from the bench or off of sticks.
On the other hand I had a Winchester "Ranger or Trapper" ( was about 5 years ago) with a 16" barrel and it was obnoxious with full bore loads. It looked cool but you had to really "nestle the buttstock into your sholder with a very firm hand hold from off hand or you would get smacked in the cheek. In other words the shorter barrel had muzzle rise which was a factor. Noise from muzzle blast was noticeable.
If you will only shoot a few rounds a year at the range and a few in the field - probably makes no difference. However, if you go to the range more than a little bit I would not shorten it.
BTW the loads from the 16" barrel chrony'd fine as do the loads from the 22" Handi - not as much differnece as with some guns (H 110 is pretty well burned at 16" I noticed)
Regards,