I'm not very familiar with the old tang safety Rugers, so I'm not sure if they had a long action and short action or just a one size fits all type of action. I like to be able to use the box magazine on my hunting rifles. It makes me feel better to have a round or two on hand just in case it's needed. So for me, if I had a short action I would do the .243 Ackley and use an extended mag box if needed. If I had a long action I would either go up to 6.5 or settle for the 6mm AI if I really wanted one.
I am starting to really appreciate high quality, long lasting brass. That's why I really lean towards cartridges with Lapua, Peterson, ADG, Alpha, or Bertram brass available for them. Remington, Winchester, Federal, Hornady, and some others can be good, but often times the primer pockets just don't hold up to max or close to max loads for very long. I seem to find Remington to be some of the best though for holding up and lasting compared to the other more common manufacturers I listed. It's ultimately your decision and your rifle though. I would have to say the 6mm Ackley makes more sense than the 6x55 AI. The Swede case is really nice, but I would just worry about getting dies and a good reamer for it.
I almost forgot, my cousin has a standard 6mm Remington chambered for 105s on a Shilen barrel and it hammers with the old 105gr AMAXs with H1000. I believe he gets right at 3200fps with that bullet and prints sub 1/2 MOA groups all day with it. His brother also has a custom .240 WBY sending 105s at 3300fps. The Weatherby is a good round, but brass can be expensive for it.