Get a long action mag, which will allow you to seat your bullets as far out as you wan. You may also need a bolt stop from a long action too, which will allow you to throw the bolt longer. Plenty of used mags for sale cheaply on the forum. New mags are incredibly over priced.

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Which magazine are you using?  the plastic one on something like the Lite? or the CTR mag.  In my 260 CTR, my cartridge OAL is 2.915 and still fits in stock mag.

David Waters from AU is starting to produce long action mags including 30-06 and 6.5×55.
Might work for you