Do you have a price range in mind? I wouldn't expect you could come up with the exact rifle you described when shopping used.
Not that I want to sell it, but I have a Remington 700 VLS that shoots well with nothing but a bedding job and some trigger lightening. I know the barrel handles as light as 70 grains and should work on anything higher except 105s. You could always do trigger, stock, and barrel changes on it. Although, for a budget rifle the laminated stock aint bad. I believe Remington is currently producing them.