Maybe half way between the 35 Rem and the 444. I think the low PSI of the factory loads (something like 28,000 I think?) of 38-55 would be a real limit. You don't find weak old guns chambered in 444 Marlin, or 35 Rem like you do for the 38-55.
Now move this up the the 375 Winchester, and now you might see a better setup. It's loaded to 308 pressures.