Highest bc, with min .25 sd preferably closer to .3 sd with mid to delayed controlled expansion construction, at moderate enough launch velocity to keep your barrel length requirements minimal such that you maintain your predetermined minimum impact velocity at 350 yards will be the top choice.
I’d probably want .3 sd, over 160gr, 7mm min landing at 2200 at 350 should do the trick. The higher the bc, the less powder needed and barrel length. Faster it goes faster it slows down too so moderate launch velocity gets a little more out of the powder also...drag is exponential.
Haven’t run a calculator but a 280 should do well, maybe even 7-08.
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