I don't know how light you want to go but I'd be inclined to send one of those short action Remingtons to Rick Steinhour at Extreme Rifle works and have him work some magic on it. Might come in a fair bit under 6 pounds once he got done with it.

If you wanted to go super light then maybe a Zastavas mini Mauser 7.62x39 rebarreled to 6.5 or 6mm Grendel and let Rick work it over. Or maybe one of their minis in 22-250 rebarreled to 6mm, 6.5 or 7mm BR. Rick could probably bring one in around 4.5 pounds.

Extreme

Missed the post where you bought the action. I'd still check Rick out and see if he could work up something for you with that action.

Last edited by mart; 08/19/19. Reason: missed the post where you bought the action
Chronographs, bore scopes and pattern boards have broke a lot of hearts.