I went down this same road,
used T3 6.5 swede $700
Wildcat stock $500
barrel cut to 20”, fluted and cerakote $450
bare rifle is a hair over 5 1/2 lbs, 6 1/2 loaded and topped with a z3 3-9x36.
It was the cheapest way I found of getting a light weight, that I knew would shoot well (in Canada)
A little edit, finishing a wildcat is pretty easy peasy, a bit of YouTube and reading, you’d be well on your way. Happy to help with input if you go that route.