Jake, I’ve been shooting one for 25 years. A Really accurate cartridge.
Yes you can just run new 06 brass through the FLS die and your good to go. I use a Lyman die. Fairly tapered expander. Case will be a tad short but no issues and no trimming. You have to be really careful not to move the shoulder back if you go this way or you will get misfires.
You can get Norma .35W brass for an ok price but new WW .30 06, .270 and .308 brass is $40/100 from Cleavers at present.
For powders from ADI you can use 2208 and 2206h. However the king of powders for this case is RL15. The new RL powders like 16 maybe good too?
With RL15 you can get 2500+ fps with a 250 gn, 2650 with a 225 gn and ~2800 with a 200 gn Sierra RN. Your about 200 fps behind a .338 WM and flatter than a 9.3 x 62. Effective to 300m.
I like the 225 TSX in my rifle. The 200 TTSX is good on big game also.
For play, paper and hogs try the 225 Sierra SPBT or 180 gn .357 mag pistol projectiles.
Happy hunting.
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