Stuart,
My LB only allows about 11 pieces to be soaked at a time, but any piece can be pulled at any time with minimal interference from the other pieces. Others might not have the issue of one piece of cast iron interfering with another but I did.
I ended up making three yokes that go across the top of a 55 gallon drum. Each yoke has a series of keyholes that allow hanging most pieces. For pieces without a hanging hole as well as DO lids, I use a separate short tank and a pair of gloves.
The tank is in our basement and does not have a tight fitting lid. That could be a problem if your tank is kept outside.
Pics below show the yokes from above, the keyholes, and a couple of hangers made from threaded rod, pieces of plywood, and t-nuts (I think that is the right term). The rods were shaped by being heated with a common propane torch and bent using the hanging hole of an adjustable wrench.