A Savage wouldn't be my 1st choice, but there is nothing at all wrong with them. One thing is for sure I wouldn't want to be standing near RC20 or jersuf101 during a thunderstorm. They seem to have terrible luck.
Savage barrels are just as thick as any other sporter weight barrel, they are all within a few 1/1000's of an inch. Savage, as do most other manufacturers, makes a heavy barrel rifle for target shooting, but the weight is too cumbersome for a hunting rifle.
Barrels heavier than standard are no more accurate, it might be easier for the shooter to hold it steady from a rest, but you can get the same accuracy. Some very thin barrels may give worse accuracy after they get really hot, but even those shoot as well as the target barrels for a few rounds.
Plastic stocks have proven to be at least as accurate as wood. And far, far more consistent. That myth died years ago.
One of the secrets to building an accurate rifle is getting the action, bolt, and barrel aligned correctly during assembly. With most rifles that means precision machining and fitting. Years ago Savage pioneered a floating bolt head and barrel nut to assemble the barrel to action. This ensured that everything lines up properly with much less attention to precise manufacturing. It means very consistent accuracy and a rifle that can be built for less money. Not necessarily any better than another rifle that is put together precisely. But you almost never get a Savage that shoots poorly.
Modern CNC machines have made it possible to build rifles with more traditional methods that will be just as accurate. And I simply prefer some other brands. But if walking into a gun shop wanting the most accuracy for the dollar my money would still be on a Savage.
Some guns that come as a package have cheap throw away scopes. But the Nikon on the one you're looking at is a decent $200 scope. At $400 with no tax I'd buy it.