I agree with Feenix and would ask if hand loading or factory ammo.
If factory I'd go 300 winny, 7 rm then 30-06 in that order.
If hand loading then the skies the limit.
Top it with a quality scope in the 18-24 ounce range in quality rings and you'll be set. Don't skimp on the rings as a light weight magnum is hard on scopes.
Lastly FWIW, don't think you need to sacrifice rifle performance for weight. For comparison I'm 5'11 and was 212 when I hit the rugged nm mountains last year for my first public land hunt at 51 years of age. My 30 nosler weighs 9.5 lbs loaded to hunt with sling, bipod and ammo. A pound or two lighter wouldn't have mattered much. In reality I had plans of hitting the mountain at 205 but a Sept marriage and all that goes with life got in the way. I also did all my distance hiking with my rifle attached to my pack. Much easier on the shoulder and nothing flopping around leaving hands free for trekking poles. We did 4-6 miles per day at 85-9800 feet.
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