shortpants hit the nail on the head.
IF you are learning long range, DO NOT SHOOT A LAPUA! You can shoot a .308 to learn and then go buy your .338 when your ready and you will still be way ahead of the game financially. I shoot a .338 RUM and built a .243 specifically for deer to 400 yards and practice to 1k. It is less than 1/3 the cost to shoot.
The Lapua is great, but its a round for 800 yards +++ or grizz. It is just too big for most aplications (dont get me wrong, I still use mine for gophers
If your stuck on the lapua, you'll be looking at the Savage line of rifles for that much coin. a cheaper option would be a .340 Weatherby or a .338 RUM.
A McMillan and Hart barrel chambered already puts you around your budget.