What would I do?
I'd buy a Savage Competition action, a custom barrel and stock and have "my" gun.
I also don't shoot heavy for caliber bullets, I like light and fast, so the heaviest thing I'd care about stabilizing would be 50gr and that's probably just because, as I don't see ever shooting anything that heavy.
The barrel, I'd go with .22-250AI, as it requires no special tools/dies and the velocity potential is sick.
A nice, pure, range/varmint, heavy, long-barreled, super-high-velocity toy.
Then I'd try for 5,000fps.
Still happily answering to the call-sign Peetza.
You do not HAVE a soul. You ARE a soul. You HAVE a body.
He is no fool who gives what he can not keep to gain what he can not lose.
-Jim Eliott, paraphrasing Philip Henry.