That GI barrel should have a 1-15 twist...just perfect...rust will buff off....better grab it Ty, or some scuzzzz like me WILL....hahahahahaha...Rat's, I missed that one.

WHOOPS...THAT'S ONLY A 30 CAL BARREL...Very N/G
I don't foresee any problems at that pressure...but I wouldn't push it too much more...the case is about 0.020" larger at the base OD above the rim than the 500 S&W and it is rated a bit higher pressure wise.
With that large a case you might get the cases sticking before the pressure gets too high, but I wouldn't use case sticking as an indicator unless you know the pressure us well within safety limits. Some loads would stick cases in my 45-120 with certain bullet/powder combinations and not stick with the same bullet and other powders...burning rate, where the pressure spike is in relation to burn time, barrel length and bullet resistance all come into play. Might have been something else causing the sticking also, that I missed. Easy enough to do if you get a brain phart during the process.
I crunched some numbers a few minutes ago and as long as you use something in a 41XX barrel material the "bust a gut" number is over 2.5X what the frame will handle...well into the 120KPSI numbers. NEF frames are always the limiting factor...for the most part. You will run into the recoil problem also around 40KPSI also with heavy bullets, most likely.
Ed's 499HE uses a bigger case at a lower pressure but it still ratio's out like Smokin Joe indicates.
I dug out a Savage stub barrel piece I used to checkout feeding using a Gibbs case in a Sav LA and found a piece of tubing I can turn and thread just to see how the Savages 1.055" OD x 20TPI looks...I'll play with it tomorrow.
From the drawing and crunching the numbers and the 1.21" OD measurement from my 12GaFH USH I came up with an average wall thickness of 0.09125"(average of major and minor diam's) which will carry a Savage prefit without even blinking...and would handle the 40KCUP by itself, so adding the chrome moly barrel is just icing on the cake. All I have to do is scrounge a real CHEAP 10-12 ga shotgun barrel to make it happen...I got a ton of Savage barrels scattered all around just wanting to be wanted.

0.080"...man that is getting a bit thin, but as it is only a carrier, not a hammer, it just looks a bit puny.

How did the 356 work? Did you try any 358 cases? My Marlin 336 356 works with ANY formed case with the .473" base...I tried about a dozen different sizes including metrics...stated a big HooHaa without even trying or meaning to on one of the levergun forums...sheesh...we're a cranky lot. Hahahahaha
Luck