Howa Grendel may Surprise you on how effective this may be. If I hadn't already put together a Scoped 7lb 10oz CZ 527 in Grendel I likely would have been jumping On the Howa this year. Could have got by with a lot less scope to get this easily down under 7 & 1/2 lbs
If the CZ527 Grendel turns your crank you may pick up a action from Buds for $400 and change. If it were me I might send it off to Pacnor to be barreled in 6.5 Grendel. Think you may get a fairly nice stock for less than $200 though I would still want to glass bed the recoil lug and the tang.
If you like the Creedmoor or 260 Remington I bet the Tikka would serve you well.
IF you want to go real inexpensive the RAR predator may serve your needs 6.7 pounds and still needing glass.
http://www.gunbroker.com/Auction/ViewItem.aspx?Item=540640558