When my family bought me the 5700 for Christmas a few years ago, I had told them before they purchased it to just get a basic unit, they annied up and bought the 5700, in retrospect, I am so glad they did.
it's a necessity to have something like a kestrel to make that shot. There's a lot that goes into making that distance of a shot. There is spin drift, gravitational pull from the Earth. I would suggest also spend money on a class teaching you how to long range shoot. It is worth the money to invest in yourself.
I would also practice cold bore shooting at that distance. Sometimes a rifle will shoot low or high on the first shot. It would be good to know that before taking the shot.