I'm having trouble finding the post where you indicate what you want the rifle to do for you.
Since you've included the 10FCP in your initial choices, I'm assuming it's for precision shooting at some distance.
I'd be very happy with this choice.
While I own a fair number of guns, from several manufacturers; Savage predominates my choices. My oldest Savage is a 10FC from 2001, upgraded with better trigger, stock, and barrel. A lot of that stuff has become upgraded in the factory selections over the intervening time, and the 10FCP-HS looks like what I'd buy if I was going to buy that first 10FC nowadays. But I couldn't use it for the NRA comps, since it's got a brake.
My 308 bolt gun is an 11VT, restocked with a Choate Tactical and no other mods. I need to insert that all but one of my guns are what I call factory rifles, in that things like barrels and triggers remain unaltered, with the 11VT's (two; a .308, and a .223) being the only ones altered to be more compatible with F T/R competition (with Choate Tactical Stocks). The exception is the 10FC (.260 from the factory in 2001) which Competed in the first(?) NRA F Class Match, the 2002 Spirit of America Match, where it competed with the factory barrel alongside the top Palma shooters for a week.
The rifle was up to it, I wasn't; but I still have it, now rebarreled with a Lothar-Walther 28" barrel, assisted by a Sharpshooter Supply Comp Trigger, and a McMillan A3 Tactical Stock.
The stock upgrades are heavily favored because I'm 6' 5 1/2" tall, with a 16.5" LOP. No factory rifles in my price range can cope with that.
Savages have had weaknesses, like extractor failures, and bolt effort. The extractor failures were all directly related to hot handloads, and over the years, I've simply handled the bolt effort; it's never stopped me from achieving anything I set out to do with the rifle. Lowlight has noted that they account for an exaggerated percentage of failures in his classes. He pushes things to limits (a very good thing), I don't, and mine has only failed in Comp as noted above, with very hot loads.
Bergara and Tikka are outside my experience range, but I hear very good things about them.
My first choice remains Savage, unless I'm seeking something that I can't get from them (not that common a problem), or that I'd rather build for myself (like AR's).
Greg