
Summary - did a boat-load of experiments, and determined that you need SS MIG welding wire or similar. Dead soft stainless tie or safety wire does not work. All you'll do is make some funky springs, and you may as well buy springs and pack your column with them. And I made a bunch of springs!

I also learned that tension is good, the more the merrier, right up to the breaking point of the wire, which, for a 2" to 3" column, is probably good at about 0.025". Everything I did here was with 0.023" or 0.57mm wire - just a bit light. Thicker wire will lobe out and spread out better than thin.
So, good bits and tension is the key. Can't feed it by hand all day, so I designed a very simple machine to do it for me. And it does not take machine tools to make or use. All you need is a bench drill press that can hopefully be slowed way down by whatever means.
I'll start with the machine, then go to the bits or mandrels that work correctly.
Overall. Yes it's on a lathe, ignore that, it was just for testing.
You start with a pretty heft piece of angle, aluminum is best, it drills and taps easily. This is the only part that might take some scrounging. Find one big enough that you can hang a spool of MIG welding wire roughly as shown.
Ignore the fancy handle. Take your spool of wire, go to the hardware sore, and find either a long bolt or better a big section of all-thread that will mount the spool. There needs to be room for a spring and washers and nuts. The spindle hole of MIG wire spool is pretty hefty, so maybe one could cut a section of copper pipe that would work, and use that over the all-thread.
If you have taps, use them and drill and tap the angle for the spindle. If not, drill through and use nuts on both sides to secure it. Slide on the MIG wire. Add a big washer. Find a pretty stout spring, add that. Add another washer, then two more nuts. Those nuts will be your tension adjustment. Nuts in, more tension on the spool.
I found that adding drag to the spindle was FAR easier than adding drag to the wire, but feel free to experiment. Two things:
1) You want to be able to turn the spool by hand, but it should feel pretty stiff. Play with washers, springs, rubber gaskets, whatever it takes. And it should be adjustable through a modest range.
2) IMPORTANT - be sure that when the spool of wire rotates, it does not move the adjusting nuts at all. That's why there are two, use one as a lock nut. Maybe put a single lock washer between them.
I made mine too fancy, had to add a lock lever to prevent this, because the spool self-adjusted towards higher tension and the wire broke.
The lock lever down and locked - don't need this with correct engineering:
Continued...