Tikka T3 or T3X and drop it in the McMillan of your choice.
You can add other upgrades like bolt handle, bottom metal, etc.
The factory barrel is good, accuracy is almost guaranteed, and the action is solid.
Or, same with a Sako but your cost would be way more.

Actually, you could even upgrade the feel of the American quite a bit by ordering a Boyds stock to your specs.