ORIGINAL: Rammer
Remington SPS
Tikka T3
Browning A-Bolt Stalker
Ruger M77 Hawkeye
The Remington is probably your best choice as far as aftermarket accessories.
Good list.My preference is the 700 action but since you said weight is an issue then the T3 lite at a shade over 6lbs might just be your rifle.
FWIW this is how I'd list them based on the stock alone
(haven't touched a Hawkeye so can't comment)
T3, SPS and Browning.