If you are really bent on a .224 cal., then the 22-250 is most definitely what I would buy. If, however, you can be swayed, I think the .243 is the greatest. I had one in 700 BDL Varmint years ago, and I traded it for a new Swift. That .243 was one of the best shooting rifles I ever owned. I've been trying to track it down ever since. That does not by any means indicate they all shoot that good, as I own a 700 with a 22 in. "whippy tube" that I cannot get close to duplicating the old Varmint.
The main reason that I hound the credentials of the .243 over the .224's is primarily wind drift at 300+ yds. Yes, speed helps compensate for wind, but only to a certain degree. Look at wind drift tables/ bullet wt/speed. I think you will be surprised. The .243 has lots of bullet weights and styles available. If you can work up a consistent, repeatable accurate load for it, I think you will be a happy camper. I own a heavy Swift and a heavy 22-250 also, but always felt the .243 was more dependable on the long stuff. Just my opinion and experience...........Good luck with your choice.