BobM2,
Many thanks for your assistance. While I am very familiar with transformer design, and the application of Faraday's law, dc solenoids are an entirely different beast and quite new to me. I previously attempted a reverse design along the lines you suggest but the various odd assortment of magnetic units finally defeated me. I will attempt it again using your method.
Israelkk,
I appreciate your concern that the devil is in the details, but in this case the magnetic path is both physically large, open, and simple. Fringing, flux leakage, and saturation are not going to significantly effect the result, and neither is the slight superimposed ac ripple on the rectified drive current. I am only looking for a +/-20% ballpark figure to resolve some mechanical mounting and loading issues.