Given what you already have, I would lean toward either a lever gun in 30-30, or a bolt gun in either 7mm-08 or 260 Rem.
I personally think 7mm-08 is the ideal general purpose big game cartridge for North America. You can take deer size game out to the range limits of what any sane hunter would attempt (400+ yards), and big bull elk out to 200 yards.
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