NOooo, that is way to much rifle, and it's going to be heavy.
You can get a new Ruger American(.308, .270 or 30-06) almost anywhere for about $400 and then get a new Leopold VX-3I of your liking and you will have a brand new set up for around a $1000.
That pair will most likely out shoot most...
I really like the Marmot Trestle, and have been using them for years. They are good bags at a good price.($100-$120) I have 3 bags, a 30, 15 and 0, all in wide width. which is super nice, so you don't compress the bag as much, loosing loft and insulation.
But like someones else noted, the cot...