bajabill, handirifle has it right, thee is a hughe conflict between the 375 bullets available and the 379 groove diameter of the target model barrel.
The 38-55 even in the Handi is not the equal of the 35 Whelen and cannot be made to be. The Whelen has nearly twice the usable capacity, drives 250 grainer to around 2500 fps. The Whelen starts where the 38-55/375 are topping out. It would be concievable to rechamber one to 38-56 AI, Which would solve chamber size/bore/groove diameter mismatches. This would give you a tad more capacity than the 375 JDJ at nearly equal pressures, the problem remains a bullet.
What the 38-55 is, is a great short range heavy thumper for whitetails and mulies in the woods. At that it excells, try to make it something it ain't, you'll be disappointed. However, most of the ballistics of the 375 JDJ from a pistol barrel are easily equalled with the 38-55. So if you have bullets that fit, anything the 375 JDJ does from a pistol, you can do from a 38-55. That is some pretty wide open territory. What it won't do is handle the heavies as well, thus, there is no replacemnet for displacement.