Your biggest drivers in weight are the barrel and the stock.
Would you be ok with a top loader system, or do you want a detachable magazine (DBM)? If you're up for a top loader, Manners has these new, lightweight BDL mini-chassis designs that would probably meet your requirements. Don't get any of the adjustable cheekpiece hardware crap if you're looking for something lightweight; use a Triad or Eagle stockpack to raise up the comb instead.
For a barrel, you're going to need some compromises on length and weight. The more you cut down on length, the more you sacrifice speed. The more you slim down the profile, the quicker your barrel heats up and starts either affecting your point of impact (POI) or sight picture from heat waves in front of your objective. Personally, I don't like cutting my barrels less than 24" (223 Remington/rimfire aside). GAP's "Non-Typical" hunting style rifle has a 25" barrel, and it has a #3 Bartlein contour. Any barrels with a similar contour should work fine.
What range do you plan on shooting offhand? If you put on open sights you would save weight for the scope. Just keep that in mind, as the scope really won't be a huge weight driver provided you're not mounting a Razor HD with steel rings.
I would put flush cups on the side and get a TIS quick cuff or TAB gear sling to support the arm.