Looking at the parts sources one finds that the 375 used a different mag tube and different shell guides.  The 375 is nearly the same as the 38-55 but loaded to different pressure levels.. they also list the cartridge stop as being diffferent and there are other parts but I believe most relate to the differences in the receiver profiles.  I too was interested in such a conversion but found a 'Legendary Frontiersman' commemorative that had been fired.  The collector value was largely destroyed so it became just a shooter, though in a desireable caliber.  I'm unsure of the barrel length but its either 24 or 26?  I also bought a 30-30 in a Candian Centenial(rifle).  It has a heavy octogon barrel and was found at a garage sale!!  It had been shot and carried so not a collector.  Loaded with 170 grain bullet it is quite accurate.  Next a receiver sight and perhaps some upgrades to the internals...