I have a Redding Big Boss II and it will load 375 cheytac but on some longer solids it can be hard to load as you will have to place the projo in the case mouth and then angle it up into the seating die as you place it on the shell holder.
At least that is how I have to do it using solids. It’s not so bad with smk’s.
So I recently bought a new press to load cheytac ammo.
I have yet to set it up. Probably in the next month or so. It is the Talon Advanced press made in Italy. It has threaded inserts for 7/8, 1-1/8, and 1-1/4 dies.
It has bearings on the shell plate/ram that guide it up and down during the stroke.
With that being said the minimum press I would use is a big boss II but I would still look at a Hollywood or 444-h press.