Well... I don't think you're going to find a much lighter magnified optic or range of prices than what's already been suggested.

Some guys use a 1x red dot and separate magnifier. That combination is typically heavier that a conventional scope but it would allow you to leave the magnifier in your range bag until needed.

At some point the operator decides what aiming device best serves the intended use. If that's a magnified optic, then extra weight is part of the equation over something than might not be best suited like a 1x red dot. Every rifle is a set of compromises.

Good luck.