Some people say the barrel should free float, others insist that such a lightweight sporter barrel would be better served with the barrel bedded as well.
If the wood was well chosen, with good grain, it doesn't make the barrel wander near as much as some synthetic pundits would have you believe. The gun may very well shoot its tightest groups with just a little upward pressure against the barrel, near the end of the fore end. This pressure point can also help tame a sporter barrel that wanders as it warms up during a shooting session.
That being said, I still prefer to free-float a barrel, especially in a production grade wooden stock. Your groups may be larger than what you'd get with a pressure point, you don't know until you try both. However, your groups will almost always be in the same place, regardless of humidity. The first one or two shots, from a cold barrel, are all that matter in a big game rifle. A 1.5" group that always lands in the expected location beats the heck out of a 1" group that wanders with the weather. Production wooden stocks are often found without stable grain, so go ahead and float it. It will still shoot "minute of venison", and that beats bragging rights at the range. I also prefer to float because I shoot with a tight sling, and that would change the pressure on the barrel, anyway.
You can also stabilize a wooden stock by hollowing out the fore end and filling it back in with a combination of hollow fiberglass fishing rod sections, epoxy, and fiberglass cloth.