Personally never seen a negative to shoring up the action by bedding it. I 100% agree that if your going to go to the trouble of bedding the action take the additional step of pillars at the same time.

As mentioned your barrel is already floated and assuming your pillar/bed job is true this will remain. If for some reason you have a little stock touch after the bed/pillar job remove material from the barrel channel by using fine grid sand paper. Slow and steady wins this race - not hard but requires somepatience.