I have a Remington Sendero in 7MM Mag and a Savage 12BVSS in 223. Obviously quite different calibers but both are super accurate. I like them both. However, I would opt for the Savage. The Savage is cheaper and comes with an adjustable trigger. The Accutrigger is awsome. It also saves you about $40 or so, the cost of a gunsmith trigger job on the Remington which will no doubt have a heavy pull. Savages used to get a bad rap for all kinds of problems but the recent Savages are really super accurate for the money. It is every bit as accurate as the Remington at a better price and with a better trigger.
Also, how used is that Remington? How many rounds are through it? I'm a little fanatical about barrel life. The 25-06 is fairly overbore and rough on the barrel if you shoot it alot. I'd go new.
I also have a Remington 700 in 25-06 and am on my second barrel. The 25-06 is awsome on deer. One of my favorite calibers.
My 2 cents.
Good shooting.