I have no direct experience with this, since I am only now gathering the parts and pieces for building a home anodizing line, and probably won't have things set up until summertime. But here are my thoughts anyways...
The parts that I would like to anodize have a single threaded hole of approximately 6mm diameter, along with several smaller holes. My tentative plan is to make hangers using titanium bolts, so that I can thread on the parts rather than using titanium fingers or aluminum wire for the hangers. I haven't investigated it yet, but I hope that the cost of titanium bolts is not so high as to make the plan unaffordable.
I may have missed it in your description - do your parts have any threaded holes that you can use, or can you add a threaded hole in an inconspicuous place, for the purpose of making the electrical connection?
If I don't go ahead with the titanium bolt idea, my fall-back idea is to use aluminum wire hangers, by putting a few threads on the end of each hanger, but that would seem to be a time-consuming approach which would probably require redoing the threads frequently.