Nothing ruins the handling of a lightweight rifle concept more than a big fucking heavy scope that is designed for big heavy marksman rifles. If you're to the point of
cutting off 3.5" of barrel to save weight, then it makes zero sense to buy an optic with significant weight.
Unless you're going to obsess over Tacti-timmy details that aren't critical (or outright pointless, even) for the stated application and ruin the entire concept of the rifle, I'd seriously look at this:
New Ultralight 2.5-10x32 Scope from SWFA. Some
other options here, but I think that's a hard option to beat.
It's 9oz. That's about 1/3rd to 1/2 the weight of common tactical/precision oriented scopes, such as the Nightforce NXS 2.5-10x42 "compact" rifle scope. IMO, respectfully, if you're going for a lightweight rifle concept for inside 300 yards on game, buy a lightweight scope that is suitable for game inside of 300 yards; If you want a precision rifle with a scope built for such, then buy a precision rifle and be honest/consistent what you're trying to build. As for the LPVO option, unless you're room clearing or doing some sort of super fast target acquisition within 15 yards, you don't need a LPVO. It doesn't make sense to put those on a bolt action hunting rifle regardless of them being all the heat these days to put on carbines for shooting terries.