I've read many great responses on this topic so I will just put in a little info from one of the OP comments, you said you are looking to spend $1000 for complete gun/optic setup, so with that being in my mind I would lean towards a Stevens rifle for the action and build from there. Action $300 providing you get right boldface for the round you choose, $200 barrel, $200 stock, leaves you $300 for a decent mid priced Nikon or Redfield scope or whatever flavor you like.
You could also find a used Savage or Remington or CZ or Tikka or Howa that would also do the ranges you're after. Really there are many options out there but a few select manufactures like the Savage/Stevens or even the Marlin X guns are easily configured to other calibers by the average mechanically inclined guy.
Caliber wise their is so many selections to get to those ranges accurately it really depends on you, don't count out the good old 243 either.
Bottom line one I don't have the answer for you just some opinions as well but in the end find what makes you happy, handle as many guns at stores as you can and decide which one is already how you want it or which one is cheap and you want to modify and go from there, myself I like to modify all my guns without having to pay a gunsmith.
You could also find a used Savage or Remington or CZ or Tikka or Howa that would also do the ranges you're after. Really there are many options out there but a few select manufactures like the Savage/Stevens or even the Marlin X guns are easily configured to other calibers by the average mechanically inclined guy.
Caliber wise their is so many selections to get to those ranges accurately it really depends on you, don't count out the good old 243 either.
Bottom line one I don't have the answer for you just some opinions as well but in the end find what makes you happy, handle as many guns at stores as you can and decide which one is already how you want it or which one is cheap and you want to modify and go from there, myself I like to modify all my guns without having to pay a gunsmith.