I'm not a wolf hunting expert but I have at times pretended to be one online.
The 223 and 22-250 will certainly kill a wolf with a nice broadside double lung shot. In my experience however that is a shot that is seldom presented.
My advice to anyone that will listen is to take a rifle that you're comfortable with and shoot a bullet that you would be very confident shooting into a deer. It is such a rare opportunity to even have a shot at a wolf that you really want to be able to make a kill shot from any angle presented. That requires a bullet to penetrate potentially through the rear hip of a rapidly departing wolf and get into the heart lung area. Whatever rifle you decide on, do not load it with a quick expanding varmint type bullet. I know of too many instances where I'm sure the wolf ultimately died but they were never recovered and when you're dealing with the trophy of a lifetime, that is unacceptable.
I personally think that your 243 with an 80-100 grain slug would be perfect.
Good luck, JCS