Budget?
Savage action and Varmint or Bull match from Krieger, Shilen, or others...
Aftermarket stock of your choice and budget, and you can DIY... 1/2 minute easily achievable.
If you want to get a smith involved (if the cost and wait aren't a factor) then a trued 700 action with barrels from the same guys as above...
In the end, while the '06 is a capable long range caliber, just not as "popular" these days in heavy barrel configurations for long range, so best bet might be to build what you want. Short actions are where the demand is...
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