I'd say you need to have someone that knows something about rifles shoot it with Remington factory ammo. You're doing something wrong.
With the Savage you'll have to deal with the Accu-Trigger
With the Vanguard you'll have to deal with a bad trigger, and a trigger group that looks like it cost 10 cents to produce
SIGH........
The Accu-Trigger is great, and it's the sole reason that Remington, Ruger, and other companies have "tried" to get better, user friendly triggers. It's no more and no less durable/fragile than any other trigger.
I've had a couple of Vanguards (Varmint Specials) and they all shot well, and the trigger's weren't any worse out of the box than Remington, Ruger, etc. They aren't as easy to adjust, and probably better suited to having a good 'smith do it.
The CZ 527's are fabulous guns and that set trigger is too sweet. It'll shoot with anything, and better than most. It's nice and compact too. I wish I could find one in 7.62x39 with the 22" barrel (that's how they first were produced, not as carbines with 18.5")
Tikka's shoot very well too. I've had a couple of T3 Lite's, and while they didn't have that quite "right" feel for me, they did shoot better than average. I think that it was the synthetic stock that I didn't like, I think that the laminate might be the ticket, but no one around here has one, and I'm not dropping $700 to see if I like it. I'd like to shoot a couple of the varmint or tactical models to see how the stock with the cheekpiece and wider forend feels, along with the balance of the heavy barrel. I've NEVER heard of one of the varmint or tacticals NOT shooting with extreme accuracy.