Desert Techs are sweet.
Once upon a time, I thought it was possible to have an ultimate/do everything rifle, one that could hit targets at 600 meters or more, take deer, and engage the Soviets or threat
du jour. A former member here who was an engineer, 3 gunner, and a friend of mine, sold a lightly used, accurized FN Fal heavy barrel with some other modifications. I sold something like 7 of my firearms to be able to buy it.
It's a beautiful rifle, accurate, and capable of taking 20 round mags of hard-hitting 7.62x51mm. It's also very heavy, and not optimal for clearing houses or hunting deer on the ground, or at short ranges. I've shot 10 rounds through it, in the 16 years I've had it.
I would suggest that a dedicated long range rifle, a dedicated defensive rifle (or braced "pistol"), and a dedicated general purpose/hunting rifle would be a better way to go. Something like a 5.56x45mm 16" barrel carbine with good RDS, a sporterized 1903, Mauser, P14 or 1917, and a Remington 700 PSS, or Ruger Precision Rifle or similar. Your budget would let you get good to great optics on all.
IMO, that would be a solution you'd be happier with, instead of chasing an elusive "1 gun" rifle.