T3's are extremely accurate off the shelf rifles, but they are very difficult to find after market accessories for. Stocks, rare and expensive. Scope bases, same thing. I hunt with a Tikka T3 and I love it for its weight and durability, but it is only a hunting rifle. I've owned Tikka Tacticals and they are tack drivers, but expensive.
Of the two, go with the Savage. I think the Tikka is better quality, but it is too specialized for your purposes. The Savage is simply a better buy for a target/long range gun.