I built one as light as I could make it for night time hog hunting- I do a lot of walking. Several cans are rated for 10.5" 308. The lightest one I could find at that time was a YHM Phantom-TI- well, the second lightest. I couldn't bring myself to buy the Brevis. With no optic, the can and rifle weigh in just under 7lbs. As a side note, during this project I came to learn how expensive titanium shit is......
As for loads, what is the twist rate on the N6's barrel? My 12.5" barrel is 1:10. I searched and searched and couldn't find a 12.5" barrel with a 1:12 or 1:14 twist for a lighter bullet. I have tried 9 different bullet and bullet weights from 125 Sierra Pro Hunter, Nosler BT/ Nornady SST to 165 SST/ Sierra Game King Hornady GMX, etc., trying to chase velocity while still shooting 1.5" 5-shots groups. All of those were loaded with Varget and Lake City brass (which is a mistake). I bought some 180 grain SSTs, IMR 4064 and Federal brass that I've yet to experiment with. The 125s over Varget were chrony'd at 2600FPS out of the 12.5". Then Federal came out with their $5/ box rebate on deer rounds- ended up making them $10/ box and then I found that they shoot greatt out of the 12.5 and the other 308s I have so I haven't been reloading with as much urgency.