Sarge, The wood wheels you see on most kit cars are Grant wheels. The wheel itself is almost flat but the adapter raises it 2 or 3 inches to clear the turn signal lever. Some others use a wheel that is actually flat and the signal lever is reworked to clear it.That wheel is no longer available to my knowledge. See my photo gallery ,the wheel on my BCW was just like the one on your car ,but I flattened it to give more tummy room.The drawing in the gallery shows where to cut the spokes to allow the wheel to go flat.
I think you could use a wheel from MG Magic by only using the part of the adapter that attaches to the shaft but you would eliminate the horn in the process.