You want one of those so-called cross over optics. Where is
@Glassaholic when you need him? ;-)
If you were gonna do an ATACR, I'd tell you that for a cross over optic you want the 4-16. It's gonna be lighter, more compact, and generally better in keeping with what you're doing. 10-16x might not be ideal for 1000 yds, but it'll get you there (especially if the glass is good). You might also consider the Nightforce NX8 2.5-20 that Signore Bill just reviewed alongside the March F 3-24x52 and S&B 3-27 and found to not be terrible. The NF and the March are both somewhat compact, somewhat lighter options that might make sense for you.
You could consider the Minox ZP5 5-25... it's not as heavy as some of the other options out there. Not as many options for reticles and features, but it's supposed to be nice glass (no personal experience, haven't even seen one in person, let along seen through one) and might make more sense than the K624 to you.
The Zeiss LRP S5 3.3-18 got a nice review from DLO in comparison to the rest of its class (ZCO, TT, March, S&B, USO)... my only qualm on a hunting gun would be that the turrets are large enough to qualify for their own address and may force you to pay additional property tax. The windage locks, at least, but not the elevation (unless I've missed something).
There's the March FX 4.5-28x52... but it has a restricted exit pupil at like 4.12 mm or so (if memory serves, from this very site). It's good glass... but might not be the right choice for hunting if low light is on the menu. I haven't had mine out in truly low light, so I cannot say how much of a deal breaker that may be for legal shooting light (30 mins before and after where I've lived).
You could go down market to the Vortex LHT - if you're willing to bias towards hunting and also sometimes shoot out long. If you're going to be doing a lot of range work with this rifle, the LHT might seem limiting to you.
I spend a lot of time researching this segment because it's interesting to me. I may swap my Tac Ops Delta-51 optic to something in this category and put my March on a more range oriented gun. However, if you anchor on "how much scope can I get for 30 ounces (i.e. March weight)" it can become a difficult problem set. Opening up to 35-36 ounces gives you a lot more options... and you can maybe worry about that .25 lb or so somewhere else. ;-)