Don't know how "lightweight" it is, but here is my Ruger MKII .338 Win Mag. (Along with a Ruger #1 in .280 Rem.) The .338 WM has a 22" barrel. Very happy with the way the .338 turned out and how it shoots.

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Here is my other long range rig, an Interarms Mark X action, Krieger barrel, Timney trigger, Boyd stock,6.5-06AI:
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Coyote Hunter - NRA Patriot Life, NRA Whittington Center Life, GOA, DAD - and I VOTE!

No, I'm not a Ruger bigot - just an unabashed fan of their revolvers, M77's and #1's.

A good .30-06 is a 99% solution.