Shane,
The suggestion to 4064 "adirondacker" made was a good one. I shoot a Rem. 700VSSF which comes with an HS Precision stock. The previous owner (shooting buddy of mine) had the stock muzzle recrowned to a "Savage style" which enhanced the groups even more than the original.
My best load to date is 35.2 grs of 4064 under a 55gr Vmax in Remington brass, using a Fed GM Match (regular) primer. 5 shots at 100yds. group into one hole. I don't seat the bullets to touch the rifling, as this is impractical for most magazines, or hunting situations. This works fine in single shots, or where you load one round at a time in a bolt gun, but in my personal situations, I don't bother.
Although best accuracy can be achieved more times than not, by doing this, it's not always necessary. Experimenting with the bullet, or cartridge OAL, within the magazine's length, can get you an excellent and very usable load.
Other than 4064, IMR4895 is also a good place to start. Varget is a good powder as well, but I've only been working loads with it over the past year or so. It shows a good tolerance to variations in temperature, unlike other powders, and the one thing I've noticed with it so far, is that it either works great, or terrible. It seems the middle ground isn't that wide with it, but like I said, my experience with it so far has been limited.
Ball powders which have a great showing in the .22-350 are W748, W760,BL-C2, H380, H335 and H414. Although H380 has been touted as being the "Holy Grail" of powders in the .22-250, BL-C2 and H414 have given me better performance over the years.
Hodgdon (up until the purchase of IMR) has never produced it's own powders and has bought them over the years, mainly from Olin (Winchester). Hodgdon, recently admitted that their HS6 & HS7 powders, were in fact, W540 & W571, due to the fact that Olin discontinued 540 & 571.
I tested W231 against Hodgdon's HP38 last fall, and with the same exact load components & weights. I got the same results within .5fps, and all ES & SD numbers were virtually indentical. Accuracy was "as good" or better.
It's nice to know as W231 is about $4-$5 dollars more per pound than HP38.
In a nutshell; due to their burn rates, performance over a chronograph, as well as powder weights and appearance, my suspicions are that W748 is in fact BL-C2.
Not to ramble on, but try some different powders before you jet that rifle, you might be surprised.
With the sporter barrel, let her cool well between shots. If you opt for a new gun, my variety is a good choice (at least for me), and for a "best buy", comparing price to accuracy, Savage's bullbarreled bench gun with the new adjustable trigger would be my choice. Savage's trigger was always the "weak link" with their guns, and now that they've addressed that issue, they've become winner's in my eyes.
Good luck,
Bob