Mark 5HD, NF NXS or NX8. You'll have more scope then you need and can do everything you want with room to learn. All can be had used or new if your leo/mil in your price range.
You behave! That's why I asked for an actual budget.Here I come with my suggestions....
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That Burris Signature 3-15x44 should get you going pretty well for the price and distance you want…if you can swallow "made in China ".So I agree with two of the above. As someone who every year takes people looking for exactly what you want to the goal line. I can say I totally disagree with the leupold comment. They are not for me. Vortex is a best entry level scope out as far as cost to scope in the low end.
I also agree with nightforce. The shv model is very tough to beat for the price. That being said. I have been a huge fan of the Burris 3-15 as mentioned above. Have several people now that will never push beyond the 500-600 yard range with most in the under 300 camp.
That scope is great probably the best overall bang for your buck scope I've dealt with in a while.
This summer I pulled the trigger on a Leupold MK4HD 4.5-18x52 FFP MOA PR-1 reticle Illuminated and love it.I have this one for sale. It will be under your budget by a bit and save $300-$350 over one online after taxes/shipping.
Same internals as a mark5hd, a 4x erector is a tad more forgiving. 34mm tube makes for a very clear Eyebox compared to most 30mm. Very good glass and not busy reticle.
Also has built in level which works great. It's a tad heavy at 27oz but lighter than most sturdy scopes.
It's mil which some in your shoes may not like.
For Sale - Leupold mk4HD 4.5-18x52 Illum Mil
New never used 4.5-18x52. FFP Illum mil PRC-1 reticle. Flawless. Snagged a Mil and MOA to compare and prefer the MOA for my uses. These are slick and have built in level to reticle. $1350 shipped.www.longrangehunting.com
Edit: not mine but another good one I own that I'd recommend.
For Sale - Trijicon Tenmile 3-18×50 Mrad
I bought this new and used it very little, perfect condition comes with box and accessories. $975 TYDwww.longrangehunting.com
"I do not think that word means what you think it means…"Remember, if you have a SFP scope dialing turrets changed point of impact but not on a FFP. Just a thought