Yes the 338 rum will work for the edge. Redding doesn't manufacture a micrometer 338 edge seating die. The only difference between the 338 rum and edge is the neck is shorter on the 338 rum, since you are only seating bullets the are no issues. To determine what bushing you will need you will need to seat a bullet into the brass, this needs to be the bullet you intend to use. Next measure the outside diameter of the neck where the bullet is seated then minus .002 and that's the bushing you want. So for instance if you loaded a bullet and measured .366 you would then subtract .002 for proper neck tension and need a .364. ***I have no idea what neck bushing you will need, this is just an example***
Also I have no bushings to include with dies. I would recommend the titanium nitrate ones though as these are what I use and I've never had a problem. I have had buddies use the cheaper ones and have had cases stick a little.