PFP, OP, who mentioned strategic? During the post-invasion period the heavy bombers were used in an interdiction role against communications. From a Soviet advance perspective they would be advancing though land where the infrastructure was largely destroyed.
The heavy bombers could have been used in the same manner as LineBacker 25 years later.
As far as moving the heavy bombers forward I would suggest the logistics cost would be too high. 10 tons of bombs v 1 or 2. Spares etc. Better continue from main bases and let the tactical aircraft deploy and fall back as required. May be operate carrier groups in the Baltic.