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The Sierra 70 MatchKing would be a good varmint bullet out to about 400 yards. After that, you'll have problems with wind drift.
I expect the 105 AMAX would do well, if the rifle will stabilize it- it should, but you're getting close to a 1-9 twist not being fast enough.
The bullet I'd recommend is the 87 Hornady V-Max with the plastic tip. It's a very nice bullet for the longer ranges- it'll do a lot better in the wind than the lighter bullets. The 87 V-Max is definitely a varmint bullet, not a deer bullet.
Reloder 19 is one of the first powders I'd reach for when working with a 6MM Rem or a 243 Win, and bullets over 80 grains.
Sounds like you first need to go thru the scope mount/scope/bedding/barrel cleaning check list, though, before you try anything else.
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Jack@huntchat.com
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