I'm an old guy also biased in favor of Rem 700's. I built up a couple 20 or so years ago. If I were you I'd learn how to determine how much a rifle has been shot and whether the locking lugs are engaging evenly if you're not already familiar with that that process. Then I would take my time and buy an older Rem 700 BDL. The triggers are adjustable and quite good. That will give you a nice wood stock and a very good platform. The only thing left of the original rifles on mine are the actions. Excellent barrels are available as well as a wide variety of stocks. Mine are all now wearing slim douglas air gauged barrels and either kevlar of fiberglass stocks. I like lighter as I get older and never could afford a gun bearer. Lots of aftermarket stuff available for 700's so you can go in any direction you wish or leave it stock.
Enjoy the journey.
Honestly, this is how I have been leaning for the very reasons you state. The Remington 700 series is a mainstay for a reason, and the aftermarket parts availability is a good thing to have. At the same time, it is also the 800 pound gorilla that all of the other manufacturers try to beat, which means that off the shelf, they might do so in some areas.
I can't imagine that any rifle that I buy is going to stay stock for very long anyway, which makes me thing Remington. I still have another month or two to investigate...