Re: Scope for night coyote hunting and long range daytime target shooting
What kind of bullets are you loading in your RRA? What twist is the barrel? Longrange means different things to different people. Not many "longrange" accuracy bullets work well with less than a 1:8 twist in .223rem. Not going to get much "accuracy" past 250yds with 55gr bullets.
4.5-14x is great range of magnification for and AR-15. A 50mm objective with illuminated reticle like the TMR or Mil-Dot and you are set. Compact size and lightweight are also helpful in keeping a field rifle manageable. Many scope including the Burris XTR and IOR 4-14 are long as hell both in terms of overall length and ocular lens assy. This means you have difficulty being able to mount the scope and keeping your rifle balanced. IOR or NightForce scopes are also about 1lb heavier than Leupold or Burris and more expensive.
If you really want a scope with light gathering and excellent optics, both Zeiss and Schmidt & Bender sell an 8x56 fixed power that should be the ticket. Might find one with an illum reticle, but would be near your $1K budget.
My Leupold #60000 mk4 illum TMR 4.5-14 is great in the shadows, and with adjustable illumination enables me not to be overpowered by too much reticle intensity.
Plenty of people will say "but there's better glass"! Yes, but it always weighs more, has long tube design, and in my book image quality isn't the primary consideration for a scopesight.
I have a 20" match barreled AR-15 with a MK4 MR/T and although it is 1.5-5x the reticle design makes it extremely versatile. The M2 turrets are great, w/bullet trajectory dial, and with over 100moa of reticle elevation, it can serve for longrange.