Thanks for all of your replies. You all gave me one of those knocks in the head while I said, "I could have had a V-8!) DUUHHH!!
All of your comments make sense and all point to lack of stability due to too low of twist rate. I guess what had me puzzled was that while I jacked up the powder charge, one would expect to increase velocity and spin and therefore maintain the stability. However, as Mikey brought up, I did not indicate bullet diameter, and as Greybeard (Bill, William is your name, correct???...which do you prefer??) said;
If the bullet diameter is too small for bore size that will prevent it from spinning enough to stabilize. I believe he has hit the nail on the head.
OK, this is gonna seem a little odd here but I actually DO realize that typically one chooses a cast bullet .001 inch over the bore diameter, I just didn't do it here in this case and my crucial mistake is perfectly clear now.
Although I've got some good accuracy out of the rifle thus far, perhaps the heavier charge of 2400 (a fast burner) has pushed things beyond the limit of the bullet vs. bore diameter. My barrel slugged out just a little over .379, seeming to be about .3795. The bullets I use are .379. I chose them when first loading for this rifle because I had heard some of the .380 bullets would bulge the neck of the case enough that it would not allow for chambering in some of the under-chambered H&R rifles. The .379 fit well and proved to shoot well on my first trip to the range. Once zeroed in, the very first four bullets made one elongated hole at 50 yards....and this was the first time I'd ever fired a 38-55 to boot. I was impressed and have been impressed since the rifle has shot well all of the time thus far so I never thought twice about the .379's since they're shooting well (at low to mid velocities and pressures). It appears that maybe pushing the pressure with a hot burning powder is not allowing the slightly smaller bullets to engage the rifling properly and therefore they're losing twist and overall stability.
Mikey, I have that same old edition of the Lyman manual as well as the new 49th edition. In the newer version, they have loads listed for the above mentioned IMR powders for cast bullets as well but still none for the 2400. The loads are definitely heavier than listed in the older version, perhaps to accommodate the newer and stronger 38-55's.
Thanks you guys! I guess I've gotta buy some .380 or .381's and hope they chamber and then go from there.