I'm thinking a 700 long action, #2 barrel (24") and an Edge would be around 6.25lbs. I may be wrong? $349 for the action, $600 for the edge, $330 for the barrel and installation comes to $1279. That doesn't include bedding or a Timney trigger.
It'd be tough to hit $1400 at 5.5 lbs....
The Kimber Montana 84L is closest thing I can think of....and it's 5lbs 10oz....
5.5 lbs vs. 5lbs 10oz is only 2 oz .... not much, units are a silly thing.