That weight bullet with Varget has been good in my 338 Sherman. A tiny bit more capacity, but did well with the 175/213gr monos.
Not super fast with the heavier, but accurate/consistent. 6.5 Stabal is another one that has worked on the heavier, so your H4350 may as well.
I had to use 270/280/280ai brass for proper length. I think you could just take virgin cases. I necked up to 30 cal, then 35 and back down to 338 to create a flase shoulder and then jammed .010" for fireforming. I used graphite in the necks for all sizing, but did not full length size, just enough in the necks to get them expanded. I annealed after the first firing once formed, then full length sized.
I would imagine you may not need to do all that as your length is the same. I would lube necks and carefully try to expand the necks on a few trash cases (what I did to practice and make sure all was well). I would jam .020" with medium charge weights to form. Maybe just do a few to start with to make sure it is happy, happy.
Good luck and keep us posted.