As to Remington and Ruger specifically, many times you have to float the barrel, do trigger job, or something to get them to shoot right. I feel the Tikkas and Sako are consistently better performers out of the box than any other mentioned. Tikka is the best bang for the buck out there in my opinion (plastic and all).
Remington triggers are easily adjusted, so I see no issue there. Ruger M77 MKII triggers, while not adjustable, are very easily touched up. And, while it galls some people to buy a rifle and replace the trigger, the Ruger rifles are often less expensive even with a new Timney trigger than other rifles. Especially after buying rings and bases for those other rifles, as they come with the Rugers. In my case almost every firearm I buy gets a homespun trigger job, so that isn't a big concern.
As to floating the barrel, that gets done on all my rifles, too, unless they come from the factory that way. But so far I've never gone the extra step and bedded any. Floating is not intended to increase accuracy, by the way, and often has an adverse affect on group size. What floating does do is eliminate problems caused by the stock moving around due to changes in temperature and/or humidity. When I got my first centerfire I couldn't get it zeroed - the more I shot the more the bullets moved up and to the left. The walnut stock was touching the barrel at the foretip and as the barrel heated the wood the wood expanded, pushing the barrel further and further off its original center. Floating the barrel resolved this problem.
Personally, I think Sako/Tikka behaved very poorly with the recent spate of barrels that were blowing up. If a rifle I buy has a potential problem, I expect the manufacturer to do much better notifying the public than they did - in fact I perceive their actions as an attempt to conceal the problem rather than notify the public. They won't be getting any of my money an time soon.